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Finding the Fourth Proportional to 85,820.80, 129,076.80 and 76,835.20

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Solution

The fourth proportional to 85,820.80, 129,076.80 and 76,835.20 is: 115,562.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,820.80 : 129,076.80 = 76,835.20 : x
  2. Step 2: Convert to fraction form
    85,820.80/129,076.80 = 76,835.20/x
  3. Step 3: Cross multiply
    85,820.80x = 129,076.80 × 76,835.20
  4. Step 4: Simplify right side
    85,820.80x = 9,917,641,743.36
  5. Step 5: Solve for x
    x = 9,917,641,743.36/85,820.80
  6. Step 6: Final answer
    x = 115,562.22

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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.