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Finding the Fourth Proportional to 156,656.32, 234,934.72 and 51,450.80

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Solution

The fourth proportional to 156,656.32, 234,934.72 and 51,450.80 is: 77,159.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,656.32 : 234,934.72 = 51,450.80 : x
  2. Step 2: Convert to fraction form
    156,656.32/234,934.72 = 51,450.80/x
  3. Step 3: Cross multiply
    156,656.32x = 234,934.72 × 51,450.80
  4. Step 4: Simplify right side
    156,656.32x = 12,087,579,291.78
  5. Step 5: Solve for x
    x = 12,087,579,291.78/156,656.32
  6. Step 6: Final answer
    x = 77,159.86

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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.