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Finding the Fourth Proportional to 71,086.68, 106,646.40 and 37,838.79

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Solution

The fourth proportional to 71,086.68, 106,646.40 and 37,838.79 is: 56,766.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,086.68 : 106,646.40 = 37,838.79 : x
  2. Step 2: Convert to fraction form
    71,086.68/106,646.40 = 37,838.79/x
  3. Step 3: Cross multiply
    71,086.68x = 106,646.40 × 37,838.79
  4. Step 4: Simplify right side
    71,086.68x = 4,035,370,733.86
  5. Step 5: Solve for x
    x = 4,035,370,733.86/71,086.68
  6. Step 6: Final answer
    x = 56,766.90

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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.