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Finding the Fourth Proportional to 99,324.18, 137,097 and 65,358.86

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Solution

The fourth proportional to 99,324.18, 137,097 and 65,358.86 is: 90,214.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,324.18 : 137,097 = 65,358.86 : x
  2. Step 2: Convert to fraction form
    99,324.18/137,097 = 65,358.86/x
  3. Step 3: Cross multiply
    99,324.18x = 137,097 × 65,358.86
  4. Step 4: Simplify right side
    99,324.18x = 8,960,503,629.42
  5. Step 5: Solve for x
    x = 8,960,503,629.42/99,324.18
  6. Step 6: Final answer
    x = 90,214.73

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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.