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Finding the Fourth Proportional to 86,200.70, 129,009.45 and 75,703.10

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Solution

The fourth proportional to 86,200.70, 129,009.45 and 75,703.10 is: 113,298.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,200.70 : 129,009.45 = 75,703.10 : x
  2. Step 2: Convert to fraction form
    86,200.70/129,009.45 = 75,703.10/x
  3. Step 3: Cross multiply
    86,200.70x = 129,009.45 × 75,703.10
  4. Step 4: Simplify right side
    86,200.70x = 9,766,415,294.30
  5. Step 5: Solve for x
    x = 9,766,415,294.30/86,200.70
  6. Step 6: Final answer
    x = 113,298.56

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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.