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Finding the Fourth Proportional to 83,384, 115,069.92 and 45,659.06

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Solution

The fourth proportional to 83,384, 115,069.92 and 45,659.06 is: 63,009.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,384 : 115,069.92 = 45,659.06 : x
  2. Step 2: Convert to fraction form
    83,384/115,069.92 = 45,659.06/x
  3. Step 3: Cross multiply
    83,384x = 115,069.92 × 45,659.06
  4. Step 4: Simplify right side
    83,384x = 5,253,984,381.48
  5. Step 5: Solve for x
    x = 5,253,984,381.48/83,384
  6. Step 6: Final answer
    x = 63,009.50

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