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Finding the Fourth Proportional to 138,159.52, 207,239.28 and 55,054.24

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Solution

The fourth proportional to 138,159.52, 207,239.28 and 55,054.24 is: 82,581.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,159.52 : 207,239.28 = 55,054.24 : x
  2. Step 2: Convert to fraction form
    138,159.52/207,239.28 = 55,054.24/x
  3. Step 3: Cross multiply
    138,159.52x = 207,239.28 × 55,054.24
  4. Step 4: Simplify right side
    138,159.52x = 11,409,401,058.55
  5. Step 5: Solve for x
    x = 11,409,401,058.55/138,159.52
  6. Step 6: Final answer
    x = 82,581.36

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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.