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Finding the Fourth Proportional to 138,006.40, 206,863.80 and 78,714.40

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Solution

The fourth proportional to 138,006.40, 206,863.80 and 78,714.40 is: 117,988.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,006.40 : 206,863.80 = 78,714.40 : x
  2. Step 2: Convert to fraction form
    138,006.40/206,863.80 = 78,714.40/x
  3. Step 3: Cross multiply
    138,006.40x = 206,863.80 × 78,714.40
  4. Step 4: Simplify right side
    138,006.40x = 16,283,159,898.72
  5. Step 5: Solve for x
    x = 16,283,159,898.72/138,006.40
  6. Step 6: Final answer
    x = 117,988.44

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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.