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Finding the Fourth Proportional to 158,565.14, 218,818.14 and 86,945

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Solution

The fourth proportional to 158,565.14, 218,818.14 and 86,945 is: 119,983.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,565.14 : 218,818.14 = 86,945 : x
  2. Step 2: Convert to fraction form
    158,565.14/218,818.14 = 86,945/x
  3. Step 3: Cross multiply
    158,565.14x = 218,818.14 × 86,945
  4. Step 4: Simplify right side
    158,565.14x = 19,025,143,182.30
  5. Step 5: Solve for x
    x = 19,025,143,182.30/158,565.14
  6. Step 6: Final answer
    x = 119,983.14

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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.