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Finding the Fourth Proportional to 71,478.54, 98,652.20 and 39,657.69

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Solution

The fourth proportional to 71,478.54, 98,652.20 and 39,657.69 is: 54,734.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,478.54 : 98,652.20 = 39,657.69 : x
  2. Step 2: Convert to fraction form
    71,478.54/98,652.20 = 39,657.69/x
  3. Step 3: Cross multiply
    71,478.54x = 98,652.20 × 39,657.69
  4. Step 4: Simplify right side
    71,478.54x = 3,912,318,167.13
  5. Step 5: Solve for x
    x = 3,912,318,167.13/71,478.54
  6. Step 6: Final answer
    x = 54,734.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.