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Finding the Fourth Proportional to 92,355.12, 138,483 and 47,871.60

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Solution

The fourth proportional to 92,355.12, 138,483 and 47,871.60 is: 71,781.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,355.12 : 138,483 = 47,871.60 : x
  2. Step 2: Convert to fraction form
    92,355.12/138,483 = 47,871.60/x
  3. Step 3: Cross multiply
    92,355.12x = 138,483 × 47,871.60
  4. Step 4: Simplify right side
    92,355.12x = 6,629,402,782.80
  5. Step 5: Solve for x
    x = 6,629,402,782.80/92,355.12
  6. Step 6: Final answer
    x = 71,781.65

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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.