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Finding the Fourth Proportional to 71,337.61, 106,913.42 and 39,746.40

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Solution

The fourth proportional to 71,337.61, 106,913.42 and 39,746.40 is: 59,567.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,337.61 : 106,913.42 = 39,746.40 : x
  2. Step 2: Convert to fraction form
    71,337.61/106,913.42 = 39,746.40/x
  3. Step 3: Cross multiply
    71,337.61x = 106,913.42 × 39,746.40
  4. Step 4: Simplify right side
    71,337.61x = 4,249,423,106.08
  5. Step 5: Solve for x
    x = 4,249,423,106.08/71,337.61
  6. Step 6: Final answer
    x = 59,567.78

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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.