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Finding the Fourth Proportional to 78,459, 108,273.80 and 42,649

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Solution

The fourth proportional to 78,459, 108,273.80 and 42,649 is: 58,855.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,459 : 108,273.80 = 42,649 : x
  2. Step 2: Convert to fraction form
    78,459/108,273.80 = 42,649/x
  3. Step 3: Cross multiply
    78,459x = 108,273.80 × 42,649
  4. Step 4: Simplify right side
    78,459x = 4,617,769,296.20
  5. Step 5: Solve for x
    x = 4,617,769,296.20/78,459
  6. Step 6: Final answer
    x = 58,855.83

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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.