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Finding the Fourth Proportional to 87,894.86, 121,294.92 and 47,608.49

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Solution

The fourth proportional to 87,894.86, 121,294.92 and 47,608.49 is: 65,699.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,894.86 : 121,294.92 = 47,608.49 : x
  2. Step 2: Convert to fraction form
    87,894.86/121,294.92 = 47,608.49/x
  3. Step 3: Cross multiply
    87,894.86x = 121,294.92 × 47,608.49
  4. Step 4: Simplify right side
    87,894.86x = 5,774,668,467.64
  5. Step 5: Solve for x
    x = 5,774,668,467.64/87,894.86
  6. Step 6: Final answer
    x = 65,699.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.