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Finding the Fourth Proportional to 153,489.96, 230,286.17 and 68,089.03

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Solution

The fourth proportional to 153,489.96, 230,286.17 and 68,089.03 is: 102,156.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,489.96 : 230,286.17 = 68,089.03 : x
  2. Step 2: Convert to fraction form
    153,489.96/230,286.17 = 68,089.03/x
  3. Step 3: Cross multiply
    153,489.96x = 230,286.17 × 68,089.03
  4. Step 4: Simplify right side
    153,489.96x = 15,679,961,937.72
  5. Step 5: Solve for x
    x = 15,679,961,937.72/153,489.96
  6. Step 6: Final answer
    x = 102,156.27

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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.