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Finding the Fourth Proportional to 156,937.78, 235,373.46 and 51,731.74

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Solution

The fourth proportional to 156,937.78, 235,373.46 and 51,731.74 is: 77,586.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,937.78 : 235,373.46 = 51,731.74 : x
  2. Step 2: Convert to fraction form
    156,937.78/235,373.46 = 51,731.74/x
  3. Step 3: Cross multiply
    156,937.78x = 235,373.46 × 51,731.74
  4. Step 4: Simplify right side
    156,937.78x = 12,176,278,635.62
  5. Step 5: Solve for x
    x = 12,176,278,635.62/156,937.78
  6. Step 6: Final answer
    x = 77,586.66

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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.