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Finding the Fourth Proportional to 71,006.22, 97,957.86 and 40,784.61

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Solution

The fourth proportional to 71,006.22, 97,957.86 and 40,784.61 is: 56,265.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,006.22 : 97,957.86 = 40,784.61 : x
  2. Step 2: Convert to fraction form
    71,006.22/97,957.86 = 40,784.61/x
  3. Step 3: Cross multiply
    71,006.22x = 97,957.86 × 40,784.61
  4. Step 4: Simplify right side
    71,006.22x = 3,995,173,330.93
  5. Step 5: Solve for x
    x = 3,995,173,330.93/71,006.22
  6. Step 6: Final answer
    x = 56,265.12

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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.