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Finding the Fourth Proportional to 138,419.20, 207,628.80 and 120,923.20

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Solution

The fourth proportional to 138,419.20, 207,628.80 and 120,923.20 is: 181,384.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,419.20 : 207,628.80 = 120,923.20 : x
  2. Step 2: Convert to fraction form
    138,419.20/207,628.80 = 120,923.20/x
  3. Step 3: Cross multiply
    138,419.20x = 207,628.80 × 120,923.20
  4. Step 4: Simplify right side
    138,419.20x = 25,107,138,908.16
  5. Step 5: Solve for x
    x = 25,107,138,908.16/138,419.20
  6. Step 6: Final answer
    x = 181,384.80

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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.