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Finding the Fourth Proportional to 78,571, 108,427.98 and 45,056.44

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Solution

The fourth proportional to 78,571, 108,427.98 and 45,056.44 is: 62,177.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,571 : 108,427.98 = 45,056.44 : x
  2. Step 2: Convert to fraction form
    78,571/108,427.98 = 45,056.44/x
  3. Step 3: Cross multiply
    78,571x = 108,427.98 × 45,056.44
  4. Step 4: Simplify right side
    78,571x = 4,885,378,775.19
  5. Step 5: Solve for x
    x = 4,885,378,775.19/78,571
  6. Step 6: Final answer
    x = 62,177.89

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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.