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Finding the Fourth Proportional to 138,812.10, 207,926.55 and 76,409.70

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Solution

The fourth proportional to 138,812.10, 207,926.55 and 76,409.70 is: 114,454.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,812.10 : 207,926.55 = 76,409.70 : x
  2. Step 2: Convert to fraction form
    138,812.10/207,926.55 = 76,409.70/x
  3. Step 3: Cross multiply
    138,812.10x = 207,926.55 × 76,409.70
  4. Step 4: Simplify right side
    138,812.10x = 15,887,605,307.54
  5. Step 5: Solve for x
    x = 15,887,605,307.54/138,812.10
  6. Step 6: Final answer
    x = 114,454.04

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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.