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Finding the Fourth Proportional to 156,689.80, 235,034.70 and 51,519.40

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Solution

The fourth proportional to 156,689.80, 235,034.70 and 51,519.40 is: 77,279.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,689.80 : 235,034.70 = 51,519.40 : x
  2. Step 2: Convert to fraction form
    156,689.80/235,034.70 = 51,519.40/x
  3. Step 3: Cross multiply
    156,689.80x = 235,034.70 × 51,519.40
  4. Step 4: Simplify right side
    156,689.80x = 12,108,846,723.18
  5. Step 5: Solve for x
    x = 12,108,846,723.18/156,689.80
  6. Step 6: Final answer
    x = 77,279.10

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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.