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Finding the Fourth Proportional to 138,492.60, 207,738.90 and 45,007.80

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Solution

The fourth proportional to 138,492.60, 207,738.90 and 45,007.80 is: 67,511.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,492.60 : 207,738.90 = 45,007.80 : x
  2. Step 2: Convert to fraction form
    138,492.60/207,738.90 = 45,007.80/x
  3. Step 3: Cross multiply
    138,492.60x = 207,738.90 × 45,007.80
  4. Step 4: Simplify right side
    138,492.60x = 9,349,870,863.42
  5. Step 5: Solve for x
    x = 9,349,870,863.42/138,492.60
  6. Step 6: Final answer
    x = 67,511.70

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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.