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Finding the Fourth Proportional to 83,705.19, 125,560.41 and 30,408

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Solution

The fourth proportional to 83,705.19, 125,560.41 and 30,408 is: 45,612.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,705.19 : 125,560.41 = 30,408 : x
  2. Step 2: Convert to fraction form
    83,705.19/125,560.41 = 30,408/x
  3. Step 3: Cross multiply
    83,705.19x = 125,560.41 × 30,408
  4. Step 4: Simplify right side
    83,705.19x = 3,818,040,947.28
  5. Step 5: Solve for x
    x = 3,818,040,947.28/83,705.19
  6. Step 6: Final answer
    x = 45,612.95

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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.