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Finding the Fourth Proportional to 55,159.98, 82,744.90 and 21,425.20

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Solution

The fourth proportional to 55,159.98, 82,744.90 and 21,425.20 is: 32,139.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,159.98 : 82,744.90 = 21,425.20 : x
  2. Step 2: Convert to fraction form
    55,159.98/82,744.90 = 21,425.20/x
  3. Step 3: Cross multiply
    55,159.98x = 82,744.90 × 21,425.20
  4. Step 4: Simplify right side
    55,159.98x = 1,772,826,031.48
  5. Step 5: Solve for x
    x = 1,772,826,031.48/55,159.98
  6. Step 6: Final answer
    x = 32,139.71

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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.