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Finding the Fourth Proportional to 225,812.80, 338,719.20 and 113,838.40

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Solution

The fourth proportional to 225,812.80, 338,719.20 and 113,838.40 is: 170,757.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,812.80 : 338,719.20 = 113,838.40 : x
  2. Step 2: Convert to fraction form
    225,812.80/338,719.20 = 113,838.40/x
  3. Step 3: Cross multiply
    225,812.80x = 338,719.20 × 113,838.40
  4. Step 4: Simplify right side
    225,812.80x = 38,559,251,777.28
  5. Step 5: Solve for x
    x = 38,559,251,777.28/225,812.80
  6. Step 6: Final answer
    x = 170,757.60

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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.