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Finding the Fourth Proportional to 147,090.20, 220,116.90 and 102,507.80

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Solution

The fourth proportional to 147,090.20, 220,116.90 and 102,507.80 is: 153,400.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,090.20 : 220,116.90 = 102,507.80 : x
  2. Step 2: Convert to fraction form
    147,090.20/220,116.90 = 102,507.80/x
  3. Step 3: Cross multiply
    147,090.20x = 220,116.90 × 102,507.80
  4. Step 4: Simplify right side
    147,090.20x = 22,563,699,161.82
  5. Step 5: Solve for x
    x = 22,563,699,161.82/147,090.20
  6. Step 6: Final answer
    x = 153,400.42

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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.