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Finding the Fourth Proportional to 71,784.49, 99,061.60 and 39,953.40

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Solution

The fourth proportional to 71,784.49, 99,061.60 and 39,953.40 is: 55,135.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,784.49 : 99,061.60 = 39,953.40 : x
  2. Step 2: Convert to fraction form
    71,784.49/99,061.60 = 39,953.40/x
  3. Step 3: Cross multiply
    71,784.49x = 99,061.60 × 39,953.40
  4. Step 4: Simplify right side
    71,784.49x = 3,957,847,729.44
  5. Step 5: Solve for x
    x = 3,957,847,729.44/71,784.49
  6. Step 6: Final answer
    x = 55,135.14

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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.