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Finding the Fourth Proportional to 83,405.46, 115,099.77 and 45,165.46

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Solution

The fourth proportional to 83,405.46, 115,099.77 and 45,165.46 is: 62,328.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,405.46 : 115,099.77 = 45,165.46 : x
  2. Step 2: Convert to fraction form
    83,405.46/115,099.77 = 45,165.46/x
  3. Step 3: Cross multiply
    83,405.46x = 115,099.77 × 45,165.46
  4. Step 4: Simplify right side
    83,405.46x = 5,198,534,057.94
  5. Step 5: Solve for x
    x = 5,198,534,057.94/83,405.46
  6. Step 6: Final answer
    x = 62,328.46

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1.5x scale

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.