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Finding the Fourth Proportional to 83,405.21, 115,099.43 and 45,165.21

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Solution

The fourth proportional to 83,405.21, 115,099.43 and 45,165.21 is: 62,328.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,405.21 : 115,099.43 = 45,165.21 : x
  2. Step 2: Convert to fraction form
    83,405.21/115,099.43 = 45,165.21/x
  3. Step 3: Cross multiply
    83,405.21x = 115,099.43 × 45,165.21
  4. Step 4: Simplify right side
    83,405.21x = 5,198,489,701.00
  5. Step 5: Solve for x
    x = 5,198,489,701.00/83,405.21
  6. Step 6: Final answer
    x = 62,328.12

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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.