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Finding the Fourth Proportional to 138,872.70, 208,384.65 and 75,689.10

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Solution

The fourth proportional to 138,872.70, 208,384.65 and 75,689.10 is: 113,574.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,872.70 : 208,384.65 = 75,689.10 : x
  2. Step 2: Convert to fraction form
    138,872.70/208,384.65 = 75,689.10/x
  3. Step 3: Cross multiply
    138,872.70x = 208,384.65 × 75,689.10
  4. Step 4: Simplify right side
    138,872.70x = 15,772,446,612.32
  5. Step 5: Solve for x
    x = 15,772,446,612.32/138,872.70
  6. Step 6: Final answer
    x = 113,574.85

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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.