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Finding the Fourth Proportional to 102,815.20, 153,877.20 and 71,711.20

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Solution

The fourth proportional to 102,815.20, 153,877.20 and 71,711.20 is: 107,325.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,815.20 : 153,877.20 = 71,711.20 : x
  2. Step 2: Convert to fraction form
    102,815.20/153,877.20 = 71,711.20/x
  3. Step 3: Cross multiply
    102,815.20x = 153,877.20 × 71,711.20
  4. Step 4: Simplify right side
    102,815.20x = 11,034,718,664.64
  5. Step 5: Solve for x
    x = 11,034,718,664.64/102,815.20
  6. Step 6: Final answer
    x = 107,325.75

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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.