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Finding the Fourth Proportional to 86,711.80, 130,067.70 and 24,374.20

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Solution

The fourth proportional to 86,711.80, 130,067.70 and 24,374.20 is: 36,561.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,711.80 : 130,067.70 = 24,374.20 : x
  2. Step 2: Convert to fraction form
    86,711.80/130,067.70 = 24,374.20/x
  3. Step 3: Cross multiply
    86,711.80x = 130,067.70 × 24,374.20
  4. Step 4: Simplify right side
    86,711.80x = 3,170,296,133.34
  5. Step 5: Solve for x
    x = 3,170,296,133.34/86,711.80
  6. Step 6: Final answer
    x = 36,561.30

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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.