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Finding the Fourth Proportional to 158,031.50, 218,083.46 and 86,411.57

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Solution

The fourth proportional to 158,031.50, 218,083.46 and 86,411.57 is: 119,247.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,031.50 : 218,083.46 = 86,411.57 : x
  2. Step 2: Convert to fraction form
    158,031.50/218,083.46 = 86,411.57/x
  3. Step 3: Cross multiply
    158,031.50x = 218,083.46 × 86,411.57
  4. Step 4: Simplify right side
    158,031.50x = 18,844,932,647.16
  5. Step 5: Solve for x
    x = 18,844,932,647.16/158,031.50
  6. Step 6: Final answer
    x = 119,247.96

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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.