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Finding the Fourth Proportional to 156,978.48, 235,475.90 and 51,805.65

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Solution

The fourth proportional to 156,978.48, 235,475.90 and 51,805.65 is: 77,711.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,978.48 : 235,475.90 = 51,805.65 : x
  2. Step 2: Convert to fraction form
    156,978.48/235,475.90 = 51,805.65/x
  3. Step 3: Cross multiply
    156,978.48x = 235,475.90 × 51,805.65
  4. Step 4: Simplify right side
    156,978.48x = 12,198,981,799.81
  5. Step 5: Solve for x
    x = 12,198,981,799.81/156,978.48
  6. Step 6: Final answer
    x = 77,711.17

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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.