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Finding the Fourth Proportional to 158,456.80, 218,672.10 and 86,835.28

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Solution

The fourth proportional to 158,456.80, 218,672.10 and 86,835.28 is: 119,833.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,456.80 : 218,672.10 = 86,835.28 : x
  2. Step 2: Convert to fraction form
    158,456.80/218,672.10 = 86,835.28/x
  3. Step 3: Cross multiply
    158,456.80x = 218,672.10 × 86,835.28
  4. Step 4: Simplify right side
    158,456.80x = 18,988,453,031.69
  5. Step 5: Solve for x
    x = 18,988,453,031.69/158,456.80
  6. Step 6: Final answer
    x = 119,833.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.