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Finding the Fourth Proportional to 47,248, 70,872 and 19,546.72

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Solution

The fourth proportional to 47,248, 70,872 and 19,546.72 is: 29,320.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,248 : 70,872 = 19,546.72 : x
  2. Step 2: Convert to fraction form
    47,248/70,872 = 19,546.72/x
  3. Step 3: Cross multiply
    47,248x = 70,872 × 19,546.72
  4. Step 4: Simplify right side
    47,248x = 1,385,315,139.84
  5. Step 5: Solve for x
    x = 1,385,315,139.84/47,248
  6. Step 6: Final answer
    x = 29,320.08

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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.