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Finding the Fourth Proportional to 86,729.80, 129,900.30 and 71,177.80

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Solution

The fourth proportional to 86,729.80, 129,900.30 and 71,177.80 is: 106,607.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,729.80 : 129,900.30 = 71,177.80 : x
  2. Step 2: Convert to fraction form
    86,729.80/129,900.30 = 71,177.80/x
  3. Step 3: Cross multiply
    86,729.80x = 129,900.30 × 71,177.80
  4. Step 4: Simplify right side
    86,729.80x = 9,246,017,573.34
  5. Step 5: Solve for x
    x = 9,246,017,573.34/86,729.80
  6. Step 6: Final answer
    x = 106,607.16

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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.