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Finding the Fourth Proportional to 220,347,712.80, 330,143,655.60 and 105,084,064.80

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Solution

The fourth proportional to 220,347,712.80, 330,143,655.60 and 105,084,064.80 is: 157,445,869.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,347,712.80 : 330,143,655.60 = 105,084,064.80 : x
  2. Step 2: Convert to fraction form
    220,347,712.80/330,143,655.60 = 105,084,064.80/x
  3. Step 3: Cross multiply
    220,347,712.80x = 330,143,655.60 × 105,084,064.80
  4. Step 4: Simplify right side
    220,347,712.80x = 34,692,837,298,379,284
  5. Step 5: Solve for x
    x = 34,692,837,298,379,284/220,347,712.80
  6. Step 6: Final answer
    x = 157,445,869.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.