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Finding the Fourth Proportional to 47,711.70, 71,596.80 and 19,645.20

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Solution

The fourth proportional to 47,711.70, 71,596.80 and 19,645.20 is: 29,479.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,711.70 : 71,596.80 = 19,645.20 : x
  2. Step 2: Convert to fraction form
    47,711.70/71,596.80 = 19,645.20/x
  3. Step 3: Cross multiply
    47,711.70x = 71,596.80 × 19,645.20
  4. Step 4: Simplify right side
    47,711.70x = 1,406,533,455.36
  5. Step 5: Solve for x
    x = 1,406,533,455.36/47,711.70
  6. Step 6: Final answer
    x = 29,479.84

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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.