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Finding the Fourth Proportional to 83,311.31, 114,969.13 and 45,070.74

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Solution

The fourth proportional to 83,311.31, 114,969.13 and 45,070.74 is: 62,197.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,311.31 : 114,969.13 = 45,070.74 : x
  2. Step 2: Convert to fraction form
    83,311.31/114,969.13 = 45,070.74/x
  3. Step 3: Cross multiply
    83,311.31x = 114,969.13 × 45,070.74
  4. Step 4: Simplify right side
    83,311.31x = 5,181,743,766.26
  5. Step 5: Solve for x
    x = 5,181,743,766.26/83,311.31
  6. Step 6: Final answer
    x = 62,197.36

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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.