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Finding the Fourth Proportional to 68,668.16, 102,387.20 and 67,424

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Solution

The fourth proportional to 68,668.16, 102,387.20 and 67,424 is: 100,532.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,668.16 : 102,387.20 = 67,424 : x
  2. Step 2: Convert to fraction form
    68,668.16/102,387.20 = 67,424/x
  3. Step 3: Cross multiply
    68,668.16x = 102,387.20 × 67,424
  4. Step 4: Simplify right side
    68,668.16x = 6,903,354,572.80
  5. Step 5: Solve for x
    x = 6,903,354,572.80/68,668.16
  6. Step 6: Final answer
    x = 100,532.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.