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Finding the Fourth Proportional to 156,666.32, 234,949.72 and 51,460.80

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Solution

The fourth proportional to 156,666.32, 234,949.72 and 51,460.80 is: 77,174.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,666.32 : 234,949.72 = 51,460.80 : x
  2. Step 2: Convert to fraction form
    156,666.32/234,949.72 = 51,460.80/x
  3. Step 3: Cross multiply
    156,666.32x = 234,949.72 × 51,460.80
  4. Step 4: Simplify right side
    156,666.32x = 12,090,700,550.98
  5. Step 5: Solve for x
    x = 12,090,700,550.98/156,666.32
  6. Step 6: Final answer
    x = 77,174.86

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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.