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Finding the Fourth Proportional to 137,807.80, 206,514.90 and 78,518.20

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Solution

The fourth proportional to 137,807.80, 206,514.90 and 78,518.20 is: 117,665.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,807.80 : 206,514.90 = 78,518.20 : x
  2. Step 2: Convert to fraction form
    137,807.80/206,514.90 = 78,518.20/x
  3. Step 3: Cross multiply
    137,807.80x = 206,514.90 × 78,518.20
  4. Step 4: Simplify right side
    137,807.80x = 16,215,178,221.18
  5. Step 5: Solve for x
    x = 16,215,178,221.18/137,807.80
  6. Step 6: Final answer
    x = 117,665.17

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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.