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Finding the Fourth Proportional to 47,581.69, 71,373.69 and 15,992.21

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Solution

The fourth proportional to 47,581.69, 71,373.69 and 15,992.21 is: 23,988.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,581.69 : 71,373.69 = 15,992.21 : x
  2. Step 2: Convert to fraction form
    47,581.69/71,373.69 = 15,992.21/x
  3. Step 3: Cross multiply
    47,581.69x = 71,373.69 × 15,992.21
  4. Step 4: Simplify right side
    47,581.69x = 1,141,423,038.95
  5. Step 5: Solve for x
    x = 1,141,423,038.95/47,581.69
  6. Step 6: Final answer
    x = 23,988.70

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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.