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Finding the Fourth Proportional to 86,983.80, 130,281.30 and 71,431.80

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Solution

The fourth proportional to 86,983.80, 130,281.30 and 71,431.80 is: 106,988.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,983.80 : 130,281.30 = 71,431.80 : x
  2. Step 2: Convert to fraction form
    86,983.80/130,281.30 = 71,431.80/x
  3. Step 3: Cross multiply
    86,983.80x = 130,281.30 × 71,431.80
  4. Step 4: Simplify right side
    86,983.80x = 9,306,227,765.34
  5. Step 5: Solve for x
    x = 9,306,227,765.34/86,983.80
  6. Step 6: Final answer
    x = 106,988.06

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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.