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Finding the Fourth Proportional to 276,031.80, 414,047.19 and 86,506.71

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Solution

The fourth proportional to 276,031.80, 414,047.19 and 86,506.71 is: 129,759.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,031.80 : 414,047.19 = 86,506.71 : x
  2. Step 2: Convert to fraction form
    276,031.80/414,047.19 = 86,506.71/x
  3. Step 3: Cross multiply
    276,031.80x = 414,047.19 × 86,506.71
  4. Step 4: Simplify right side
    276,031.80x = 35,817,860,191.64
  5. Step 5: Solve for x
    x = 35,817,860,191.64/276,031.80
  6. Step 6: Final answer
    x = 129,759.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.