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Finding the Fourth Proportional to 231,120, 346,668.66 and 89,033.04

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Solution

The fourth proportional to 231,120, 346,668.66 and 89,033.04 is: 133,545.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,120 : 346,668.66 = 89,033.04 : x
  2. Step 2: Convert to fraction form
    231,120/346,668.66 = 89,033.04/x
  3. Step 3: Cross multiply
    231,120x = 346,668.66 × 89,033.04
  4. Step 4: Simplify right side
    231,120x = 30,864,964,672.53
  5. Step 5: Solve for x
    x = 30,864,964,672.53/231,120
  6. Step 6: Final answer
    x = 133,545.19

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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.