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Finding the Fourth Proportional to 47,304, 70,956 and 16,139.25

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Solution

The fourth proportional to 47,304, 70,956 and 16,139.25 is: 24,208.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,304 : 70,956 = 16,139.25 : x
  2. Step 2: Convert to fraction form
    47,304/70,956 = 16,139.25/x
  3. Step 3: Cross multiply
    47,304x = 70,956 × 16,139.25
  4. Step 4: Simplify right side
    47,304x = 1,145,176,623
  5. Step 5: Solve for x
    x = 1,145,176,623/47,304
  6. Step 6: Final answer
    x = 24,208.88

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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.