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Finding the Fourth Proportional to 100,434.67, 150,594.91 and 77,630.46

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Solution

The fourth proportional to 100,434.67, 150,594.91 and 77,630.46 is: 116,401.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,434.67 : 150,594.91 = 77,630.46 : x
  2. Step 2: Convert to fraction form
    100,434.67/150,594.91 = 77,630.46/x
  3. Step 3: Cross multiply
    100,434.67x = 150,594.91 × 77,630.46
  4. Step 4: Simplify right side
    100,434.67x = 11,690,752,136.96
  5. Step 5: Solve for x
    x = 11,690,752,136.96/100,434.67
  6. Step 6: Final answer
    x = 116,401.56

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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.