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Finding the Fourth Proportional to 54,657.76, 82,078.80 and 51,851.92

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Solution

The fourth proportional to 54,657.76, 82,078.80 and 51,851.92 is: 77,865.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,657.76 : 82,078.80 = 51,851.92 : x
  2. Step 2: Convert to fraction form
    54,657.76/82,078.80 = 51,851.92/x
  3. Step 3: Cross multiply
    54,657.76x = 82,078.80 × 51,851.92
  4. Step 4: Simplify right side
    54,657.76x = 4,255,943,371.30
  5. Step 5: Solve for x
    x = 4,255,943,371.30/54,657.76
  6. Step 6: Final answer
    x = 77,865.31

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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.