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Finding the Fourth Proportional to 47,578.76, 71,378.58 and 19,499

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Solution

The fourth proportional to 47,578.76, 71,378.58 and 19,499 is: 29,252.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,578.76 : 71,378.58 = 19,499 : x
  2. Step 2: Convert to fraction form
    47,578.76/71,378.58 = 19,499/x
  3. Step 3: Cross multiply
    47,578.76x = 71,378.58 × 19,499
  4. Step 4: Simplify right side
    47,578.76x = 1,391,810,931.42
  5. Step 5: Solve for x
    x = 1,391,810,931.42/47,578.76
  6. Step 6: Final answer
    x = 29,252.78

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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.