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Finding the Fourth Proportional to 102,882.71, 154,338.85 and 31,810.89

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Solution

The fourth proportional to 102,882.71, 154,338.85 and 31,810.89 is: 47,720.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,882.71 : 154,338.85 = 31,810.89 : x
  2. Step 2: Convert to fraction form
    102,882.71/154,338.85 = 31,810.89/x
  3. Step 3: Cross multiply
    102,882.71x = 154,338.85 × 31,810.89
  4. Step 4: Simplify right side
    102,882.71x = 4,909,656,180.08
  5. Step 5: Solve for x
    x = 4,909,656,180.08/102,882.71
  6. Step 6: Final answer
    x = 47,720.91

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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.