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Finding the Fourth Proportional to 169,242.98, 253,864.47 and 86,195.30

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Solution

The fourth proportional to 169,242.98, 253,864.47 and 86,195.30 is: 129,292.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,242.98 : 253,864.47 = 86,195.30 : x
  2. Step 2: Convert to fraction form
    169,242.98/253,864.47 = 86,195.30/x
  3. Step 3: Cross multiply
    169,242.98x = 253,864.47 × 86,195.30
  4. Step 4: Simplify right side
    169,242.98x = 21,881,924,150.99
  5. Step 5: Solve for x
    x = 21,881,924,150.99/169,242.98
  6. Step 6: Final answer
    x = 129,292.95

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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.