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Finding the Fourth Proportional to 47,668.62, 71,526 and 19,609.40

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Solution

The fourth proportional to 47,668.62, 71,526 and 19,609.40 is: 29,423.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,668.62 : 71,526 = 19,609.40 : x
  2. Step 2: Convert to fraction form
    47,668.62/71,526 = 19,609.40/x
  3. Step 3: Cross multiply
    47,668.62x = 71,526 × 19,609.40
  4. Step 4: Simplify right side
    47,668.62x = 1,402,581,944.40
  5. Step 5: Solve for x
    x = 1,402,581,944.40/47,668.62
  6. Step 6: Final answer
    x = 29,423.59

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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.