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Finding the Fourth Proportional to 137,805.12, 206,565.12 and 75,342.24

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Solution

The fourth proportional to 137,805.12, 206,565.12 and 75,342.24 is: 112,935.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,805.12 : 206,565.12 = 75,342.24 : x
  2. Step 2: Convert to fraction form
    137,805.12/206,565.12 = 75,342.24/x
  3. Step 3: Cross multiply
    137,805.12x = 206,565.12 × 75,342.24
  4. Step 4: Simplify right side
    137,805.12x = 15,563,078,846.67
  5. Step 5: Solve for x
    x = 15,563,078,846.67/137,805.12
  6. Step 6: Final answer
    x = 112,935.42

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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.