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Finding the Fourth Proportional to 83,643.26, 115,428.10 and 45,917.50

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Solution

The fourth proportional to 83,643.26, 115,428.10 and 45,917.50 is: 63,366.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,643.26 : 115,428.10 = 45,917.50 : x
  2. Step 2: Convert to fraction form
    83,643.26/115,428.10 = 45,917.50/x
  3. Step 3: Cross multiply
    83,643.26x = 115,428.10 × 45,917.50
  4. Step 4: Simplify right side
    83,643.26x = 5,300,169,781.75
  5. Step 5: Solve for x
    x = 5,300,169,781.75/83,643.26
  6. Step 6: Final answer
    x = 63,366.37

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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.