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Finding the Fourth Proportional to 77,851.92, 107,443.59 and 47,657.19

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Solution

The fourth proportional to 77,851.92, 107,443.59 and 47,657.19 is: 65,771.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,851.92 : 107,443.59 = 47,657.19 : x
  2. Step 2: Convert to fraction form
    77,851.92/107,443.59 = 47,657.19/x
  3. Step 3: Cross multiply
    77,851.92x = 107,443.59 × 47,657.19
  4. Step 4: Simplify right side
    77,851.92x = 5,120,459,582.91
  5. Step 5: Solve for x
    x = 5,120,459,582.91/77,851.92
  6. Step 6: Final answer
    x = 65,771.78

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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.