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Finding the Fourth Proportional to 100,913.90, 151,262.85 and 34,292.30

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Solution

The fourth proportional to 100,913.90, 151,262.85 and 34,292.30 is: 51,401.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,913.90 : 151,262.85 = 34,292.30 : x
  2. Step 2: Convert to fraction form
    100,913.90/151,262.85 = 34,292.30/x
  3. Step 3: Cross multiply
    100,913.90x = 151,262.85 × 34,292.30
  4. Step 4: Simplify right side
    100,913.90x = 5,187,151,031.06
  5. Step 5: Solve for x
    x = 5,187,151,031.06/100,913.90
  6. Step 6: Final answer
    x = 51,401.75

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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.