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Finding the Fourth Proportional to 71,406.40, 107,004.32 and 39,772.90

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Solution

The fourth proportional to 71,406.40, 107,004.32 and 39,772.90 is: 59,600.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,406.40 : 107,004.32 = 39,772.90 : x
  2. Step 2: Convert to fraction form
    71,406.40/107,004.32 = 39,772.90/x
  3. Step 3: Cross multiply
    71,406.40x = 107,004.32 × 39,772.90
  4. Step 4: Simplify right side
    71,406.40x = 4,255,872,118.93
  5. Step 5: Solve for x
    x = 4,255,872,118.93/71,406.40
  6. Step 6: Final answer
    x = 59,600.71

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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.