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Finding the Fourth Proportional to 138,011.13, 206,869.05 and 71,384.18

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Solution

The fourth proportional to 138,011.13, 206,869.05 and 71,384.18 is: 106,999.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,011.13 : 206,869.05 = 71,384.18 : x
  2. Step 2: Convert to fraction form
    138,011.13/206,869.05 = 71,384.18/x
  3. Step 3: Cross multiply
    138,011.13x = 206,869.05 × 71,384.18
  4. Step 4: Simplify right side
    138,011.13x = 14,767,176,467.28
  5. Step 5: Solve for x
    x = 14,767,176,467.28/138,011.13
  6. Step 6: Final answer
    x = 106,999.90

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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.