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Finding the Fourth Proportional to 47,752.42, 71,642.95 and 19,274.71

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Solution

The fourth proportional to 47,752.42, 71,642.95 and 19,274.71 is: 28,917.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,752.42 : 71,642.95 = 19,274.71 : x
  2. Step 2: Convert to fraction form
    47,752.42/71,642.95 = 19,274.71/x
  3. Step 3: Cross multiply
    47,752.42x = 71,642.95 × 19,274.71
  4. Step 4: Simplify right side
    47,752.42x = 1,380,897,084.79
  5. Step 5: Solve for x
    x = 1,380,897,084.79/47,752.42
  6. Step 6: Final answer
    x = 28,917.85

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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.