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Finding the Fourth Proportional to 138,434.40, 207,640.80 and 54,178.20

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Solution

The fourth proportional to 138,434.40, 207,640.80 and 54,178.20 is: 81,263.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,434.40 : 207,640.80 = 54,178.20 : x
  2. Step 2: Convert to fraction form
    138,434.40/207,640.80 = 54,178.20/x
  3. Step 3: Cross multiply
    138,434.40x = 207,640.80 × 54,178.20
  4. Step 4: Simplify right side
    138,434.40x = 11,249,604,790.56
  5. Step 5: Solve for x
    x = 11,249,604,790.56/138,434.40
  6. Step 6: Final answer
    x = 81,263.07

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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.