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Finding the Fourth Proportional to 138,859.48, 208,148.96 and 54,678.72

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Solution

The fourth proportional to 138,859.48, 208,148.96 and 54,678.72 is: 81,962.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,859.48 : 208,148.96 = 54,678.72 : x
  2. Step 2: Convert to fraction form
    138,859.48/208,148.96 = 54,678.72/x
  3. Step 3: Cross multiply
    138,859.48x = 208,148.96 × 54,678.72
  4. Step 4: Simplify right side
    138,859.48x = 11,381,318,702.13
  5. Step 5: Solve for x
    x = 11,381,318,702.13/138,859.48
  6. Step 6: Final answer
    x = 81,962.85

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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.