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Finding the Fourth Proportional to 158,270.81, 218,414.35 and 86,657.49

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Solution

The fourth proportional to 158,270.81, 218,414.35 and 86,657.49 is: 119,587.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,270.81 : 218,414.35 = 86,657.49 : x
  2. Step 2: Convert to fraction form
    158,270.81/218,414.35 = 86,657.49/x
  3. Step 3: Cross multiply
    158,270.81x = 218,414.35 × 86,657.49
  4. Step 4: Simplify right side
    158,270.81x = 18,927,239,134.34
  5. Step 5: Solve for x
    x = 18,927,239,134.34/158,270.81
  6. Step 6: Final answer
    x = 119,587.68

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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.