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Finding the Fourth Proportional to 138,825.60, 207,946.80 and 76,423.20

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Solution

The fourth proportional to 138,825.60, 207,946.80 and 76,423.20 is: 114,474.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,825.60 : 207,946.80 = 76,423.20 : x
  2. Step 2: Convert to fraction form
    138,825.60/207,946.80 = 76,423.20/x
  3. Step 3: Cross multiply
    138,825.60x = 207,946.80 × 76,423.20
  4. Step 4: Simplify right side
    138,825.60x = 15,891,959,885.76
  5. Step 5: Solve for x
    x = 15,891,959,885.76/138,825.60
  6. Step 6: Final answer
    x = 114,474.27

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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.