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Finding the Fourth Proportional to 156,959.92, 235,476.78 and 51,778.90

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Solution

The fourth proportional to 156,959.92, 235,476.78 and 51,778.90 is: 77,680.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,959.92 : 235,476.78 = 51,778.90 : x
  2. Step 2: Convert to fraction form
    156,959.92/235,476.78 = 51,778.90/x
  3. Step 3: Cross multiply
    156,959.92x = 235,476.78 × 51,778.90
  4. Step 4: Simplify right side
    156,959.92x = 12,192,728,643.94
  5. Step 5: Solve for x
    x = 12,192,728,643.94/156,959.92
  6. Step 6: Final answer
    x = 77,680.52

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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.