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Finding the Fourth Proportional to 78,809.17, 108,772.84 and 48,187.50

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Solution

The fourth proportional to 78,809.17, 108,772.84 and 48,187.50 is: 66,508.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,809.17 : 108,772.84 = 48,187.50 : x
  2. Step 2: Convert to fraction form
    78,809.17/108,772.84 = 48,187.50/x
  3. Step 3: Cross multiply
    78,809.17x = 108,772.84 × 48,187.50
  4. Step 4: Simplify right side
    78,809.17x = 5,241,491,185.76
  5. Step 5: Solve for x
    x = 5,241,491,185.76/78,809.17
  6. Step 6: Final answer
    x = 66,508.65

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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.