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Finding the Fourth Proportional to 158,498.26, 218,724.14 and 86,876.74

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Solution

The fourth proportional to 158,498.26, 218,724.14 and 86,876.74 is: 119,888.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,498.26 : 218,724.14 = 86,876.74 : x
  2. Step 2: Convert to fraction form
    158,498.26/218,724.14 = 86,876.74/x
  3. Step 3: Cross multiply
    158,498.26x = 218,724.14 × 86,876.74
  4. Step 4: Simplify right side
    158,498.26x = 19,002,040,242.50
  5. Step 5: Solve for x
    x = 19,002,040,242.50/158,498.26
  6. Step 6: Final answer
    x = 119,888.01

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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.