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Finding the Fourth Proportional to 86,871.88, 130,305.12 and 27,711.10

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Solution

The fourth proportional to 86,871.88, 130,305.12 and 27,711.10 is: 41,565.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,871.88 : 130,305.12 = 27,711.10 : x
  2. Step 2: Convert to fraction form
    86,871.88/130,305.12 = 27,711.10/x
  3. Step 3: Cross multiply
    86,871.88x = 130,305.12 × 27,711.10
  4. Step 4: Simplify right side
    86,871.88x = 3,610,898,210.83
  5. Step 5: Solve for x
    x = 3,610,898,210.83/86,871.88
  6. Step 6: Final answer
    x = 41,565.79

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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.