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Finding the Fourth Proportional to 156,874.40, 235,311.60 and 51,679.70

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Solution

The fourth proportional to 156,874.40, 235,311.60 and 51,679.70 is: 77,519.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,874.40 : 235,311.60 = 51,679.70 : x
  2. Step 2: Convert to fraction form
    156,874.40/235,311.60 = 51,679.70/x
  3. Step 3: Cross multiply
    156,874.40x = 235,311.60 × 51,679.70
  4. Step 4: Simplify right side
    156,874.40x = 12,160,832,894.52
  5. Step 5: Solve for x
    x = 12,160,832,894.52/156,874.40
  6. Step 6: Final answer
    x = 77,519.55

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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.