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Finding the Fourth Proportional to 75,894.30, 113,830.72 and 47,728.46

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Solution

The fourth proportional to 75,894.30, 113,830.72 and 47,728.46 is: 71,585.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,894.30 : 113,830.72 = 47,728.46 : x
  2. Step 2: Convert to fraction form
    75,894.30/113,830.72 = 47,728.46/x
  3. Step 3: Cross multiply
    75,894.30x = 113,830.72 × 47,728.46
  4. Step 4: Simplify right side
    75,894.30x = 5,432,965,131.55
  5. Step 5: Solve for x
    x = 5,432,965,131.55/75,894.30
  6. Step 6: Final answer
    x = 71,585.94

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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.