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Finding the Fourth Proportional to 86,857.80, 130,092.30 and 71,305.80

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Solution

The fourth proportional to 86,857.80, 130,092.30 and 71,305.80 is: 106,799.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,857.80 : 130,092.30 = 71,305.80 : x
  2. Step 2: Convert to fraction form
    86,857.80/130,092.30 = 71,305.80/x
  3. Step 3: Cross multiply
    86,857.80x = 130,092.30 × 71,305.80
  4. Step 4: Simplify right side
    86,857.80x = 9,276,335,525.34
  5. Step 5: Solve for x
    x = 9,276,335,525.34/86,857.80
  6. Step 6: Final answer
    x = 106,799.11

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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.