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Finding the Fourth Proportional to 71,818.50, 107,710.46 and 31,815.38

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Solution

The fourth proportional to 71,818.50, 107,710.46 and 31,815.38 is: 47,715.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,818.50 : 107,710.46 = 31,815.38 : x
  2. Step 2: Convert to fraction form
    71,818.50/107,710.46 = 31,815.38/x
  3. Step 3: Cross multiply
    71,818.50x = 107,710.46 × 31,815.38
  4. Step 4: Simplify right side
    71,818.50x = 3,426,849,214.87
  5. Step 5: Solve for x
    x = 3,426,849,214.87/71,818.50
  6. Step 6: Final answer
    x = 47,715.41

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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.