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Finding the Fourth Proportional to 83,305.29, 124,698.80 and 45,259.43

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Solution

The fourth proportional to 83,305.29, 124,698.80 and 45,259.43 is: 67,748.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,305.29 : 124,698.80 = 45,259.43 : x
  2. Step 2: Convert to fraction form
    83,305.29/124,698.80 = 45,259.43/x
  3. Step 3: Cross multiply
    83,305.29x = 124,698.80 × 45,259.43
  4. Step 4: Simplify right side
    83,305.29x = 5,643,796,099.34
  5. Step 5: Solve for x
    x = 5,643,796,099.34/83,305.29
  6. Step 6: Final answer
    x = 67,748.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.