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Finding the Fourth Proportional to 47,200, 70,800 and 19,498.72

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Solution

The fourth proportional to 47,200, 70,800 and 19,498.72 is: 29,248.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,200 : 70,800 = 19,498.72 : x
  2. Step 2: Convert to fraction form
    47,200/70,800 = 19,498.72/x
  3. Step 3: Cross multiply
    47,200x = 70,800 × 19,498.72
  4. Step 4: Simplify right side
    47,200x = 1,380,509,376
  5. Step 5: Solve for x
    x = 1,380,509,376/47,200
  6. Step 6: Final answer
    x = 29,248.08

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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.