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Finding the Fourth Proportional to 138,332.16, 207,552 and 55,284.48

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Solution

The fourth proportional to 138,332.16, 207,552 and 55,284.48 is: 82,948.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,332.16 : 207,552 = 55,284.48 : x
  2. Step 2: Convert to fraction form
    138,332.16/207,552 = 55,284.48/x
  3. Step 3: Cross multiply
    138,332.16x = 207,552 × 55,284.48
  4. Step 4: Simplify right side
    138,332.16x = 11,474,404,392.96
  5. Step 5: Solve for x
    x = 11,474,404,392.96/138,332.16
  6. Step 6: Final answer
    x = 82,948.21

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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.