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Finding the Fourth Proportional to 47,853, 71,780.11 and 16,688.25

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Solution

The fourth proportional to 47,853, 71,780.11 and 16,688.25 is: 25,032.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,853 : 71,780.11 = 16,688.25 : x
  2. Step 2: Convert to fraction form
    47,853/71,780.11 = 16,688.25/x
  3. Step 3: Cross multiply
    47,853x = 71,780.11 × 16,688.25
  4. Step 4: Simplify right side
    47,853x = 1,197,884,378.99
  5. Step 5: Solve for x
    x = 1,197,884,378.99/47,853
  6. Step 6: Final answer
    x = 25,032.59

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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.