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Finding the Fourth Proportional to 83,330.34, 124,961.85 and 30,728.10

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Solution

The fourth proportional to 83,330.34, 124,961.85 and 30,728.10 is: 46,079.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,330.34 : 124,961.85 = 30,728.10 : x
  2. Step 2: Convert to fraction form
    83,330.34/124,961.85 = 30,728.10/x
  3. Step 3: Cross multiply
    83,330.34x = 124,961.85 × 30,728.10
  4. Step 4: Simplify right side
    83,330.34x = 3,839,840,222.99
  5. Step 5: Solve for x
    x = 3,839,840,222.99/83,330.34
  6. Step 6: Final answer
    x = 46,079.74

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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.