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Finding the Fourth Proportional to 137,389.14, 206,154 and 65,423.52

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Solution

The fourth proportional to 137,389.14, 206,154 and 65,423.52 is: 98,168.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,389.14 : 206,154 = 65,423.52 : x
  2. Step 2: Convert to fraction form
    137,389.14/206,154 = 65,423.52/x
  3. Step 3: Cross multiply
    137,389.14x = 206,154 × 65,423.52
  4. Step 4: Simplify right side
    137,389.14x = 13,487,320,342.08
  5. Step 5: Solve for x
    x = 13,487,320,342.08/137,389.14
  6. Step 6: Final answer
    x = 98,168.75

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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.