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Finding the Fourth Proportional to 83,489.01, 115,232.25 and 76,764.01

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Solution

The fourth proportional to 83,489.01, 115,232.25 and 76,764.01 is: 105,950.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,489.01 : 115,232.25 = 76,764.01 : x
  2. Step 2: Convert to fraction form
    83,489.01/115,232.25 = 76,764.01/x
  3. Step 3: Cross multiply
    83,489.01x = 115,232.25 × 76,764.01
  4. Step 4: Simplify right side
    83,489.01x = 8,845,689,207.50
  5. Step 5: Solve for x
    x = 8,845,689,207.50/83,489.01
  6. Step 6: Final answer
    x = 105,950.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.