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Finding the Fourth Proportional to 81,176.74, 121,707.87 and 31,214.86

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Solution

The fourth proportional to 81,176.74, 121,707.87 and 31,214.86 is: 46,800.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,176.74 : 121,707.87 = 31,214.86 : x
  2. Step 2: Convert to fraction form
    81,176.74/121,707.87 = 31,214.86/x
  3. Step 3: Cross multiply
    81,176.74x = 121,707.87 × 31,214.86
  4. Step 4: Simplify right side
    81,176.74x = 3,799,094,122.95
  5. Step 5: Solve for x
    x = 3,799,094,122.95/81,176.74
  6. Step 6: Final answer
    x = 46,800.28

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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.