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Finding the Fourth Proportional to 75,671.80, 113,426.70 and 25,705.60

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Solution

The fourth proportional to 75,671.80, 113,426.70 and 25,705.60 is: 38,530.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,671.80 : 113,426.70 = 25,705.60 : x
  2. Step 2: Convert to fraction form
    75,671.80/113,426.70 = 25,705.60/x
  3. Step 3: Cross multiply
    75,671.80x = 113,426.70 × 25,705.60
  4. Step 4: Simplify right side
    75,671.80x = 2,915,701,379.52
  5. Step 5: Solve for x
    x = 2,915,701,379.52/75,671.80
  6. Step 6: Final answer
    x = 38,530.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.