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Finding the Fourth Proportional to 78,443.74, 108,254.74 and 48,246.80

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Solution

The fourth proportional to 78,443.74, 108,254.74 and 48,246.80 is: 66,582.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,443.74 : 108,254.74 = 48,246.80 : x
  2. Step 2: Convert to fraction form
    78,443.74/108,254.74 = 48,246.80/x
  3. Step 3: Cross multiply
    78,443.74x = 108,254.74 × 48,246.80
  4. Step 4: Simplify right side
    78,443.74x = 5,222,944,789.83
  5. Step 5: Solve for x
    x = 5,222,944,789.83/78,443.74
  6. Step 6: Final answer
    x = 66,582.05

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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.