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Finding the Fourth Proportional to 156,439, 234,665.79 and 45,631

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Solution

The fourth proportional to 156,439, 234,665.79 and 45,631 is: 68,448.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,439 : 234,665.79 = 45,631 : x
  2. Step 2: Convert to fraction form
    156,439/234,665.79 = 45,631/x
  3. Step 3: Cross multiply
    156,439x = 234,665.79 × 45,631
  4. Step 4: Simplify right side
    156,439x = 10,708,034,663.49
  5. Step 5: Solve for x
    x = 10,708,034,663.49/156,439
  6. Step 6: Final answer
    x = 68,448.63

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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.