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Finding the Fourth Proportional to 111,002.26, 153,080.90 and 72,747.87

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Solution

The fourth proportional to 111,002.26, 153,080.90 and 72,747.87 is: 100,325.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,002.26 : 153,080.90 = 72,747.87 : x
  2. Step 2: Convert to fraction form
    111,002.26/153,080.90 = 72,747.87/x
  3. Step 3: Cross multiply
    111,002.26x = 153,080.90 × 72,747.87
  4. Step 4: Simplify right side
    111,002.26x = 11,136,309,412.68
  5. Step 5: Solve for x
    x = 11,136,309,412.68/111,002.26
  6. Step 6: Final answer
    x = 100,325.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.