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Finding the Fourth Proportional to 100,864.30, 151,296.45 and 65,613.10

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Solution

The fourth proportional to 100,864.30, 151,296.45 and 65,613.10 is: 98,419.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,864.30 : 151,296.45 = 65,613.10 : x
  2. Step 2: Convert to fraction form
    100,864.30/151,296.45 = 65,613.10/x
  3. Step 3: Cross multiply
    100,864.30x = 151,296.45 × 65,613.10
  4. Step 4: Simplify right side
    100,864.30x = 9,927,029,103.50
  5. Step 5: Solve for x
    x = 9,927,029,103.50/100,864.30
  6. Step 6: Final answer
    x = 98,419.65

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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.