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Finding the Fourth Proportional to 78,221.88, 107,938.18 and 48,008.48

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Solution

The fourth proportional to 78,221.88, 107,938.18 and 48,008.48 is: 66,246.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,221.88 : 107,938.18 = 48,008.48 : x
  2. Step 2: Convert to fraction form
    78,221.88/107,938.18 = 48,008.48/x
  3. Step 3: Cross multiply
    78,221.88x = 107,938.18 × 48,008.48
  4. Step 4: Simplify right side
    78,221.88x = 5,181,947,955.77
  5. Step 5: Solve for x
    x = 5,181,947,955.77/78,221.88
  6. Step 6: Final answer
    x = 66,246.78

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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.