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Finding the Fourth Proportional to 47,055, 70,614.90 and 19,353

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Solution

The fourth proportional to 47,055, 70,614.90 and 19,353 is: 29,042.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,055 : 70,614.90 = 19,353 : x
  2. Step 2: Convert to fraction form
    47,055/70,614.90 = 19,353/x
  3. Step 3: Cross multiply
    47,055x = 70,614.90 × 19,353
  4. Step 4: Simplify right side
    47,055x = 1,366,610,159.70
  5. Step 5: Solve for x
    x = 1,366,610,159.70/47,055
  6. Step 6: Final answer
    x = 29,042.83

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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.