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Finding the Fourth Proportional to 100,658.40, 150,988.26 and 29,580.78

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Solution

The fourth proportional to 100,658.40, 150,988.26 and 29,580.78 is: 44,371.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,658.40 : 150,988.26 = 29,580.78 : x
  2. Step 2: Convert to fraction form
    100,658.40/150,988.26 = 29,580.78/x
  3. Step 3: Cross multiply
    100,658.40x = 150,988.26 × 29,580.78
  4. Step 4: Simplify right side
    100,658.40x = 4,466,350,501.64
  5. Step 5: Solve for x
    x = 4,466,350,501.64/100,658.40
  6. Step 6: Final answer
    x = 44,371.36

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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.