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Finding the Fourth Proportional to 158,306, 218,462.28 and 87,650

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Solution

The fourth proportional to 158,306, 218,462.28 and 87,650 is: 120,957

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,306 : 218,462.28 = 87,650 : x
  2. Step 2: Convert to fraction form
    158,306/218,462.28 = 87,650/x
  3. Step 3: Cross multiply
    158,306x = 218,462.28 × 87,650
  4. Step 4: Simplify right side
    158,306x = 19,148,218,842
  5. Step 5: Solve for x
    x = 19,148,218,842/158,306
  6. Step 6: Final answer
    x = 120,957

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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.