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Finding the Fourth Proportional to 75,865.60, 113,798.40 and 38,540.80

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Solution

The fourth proportional to 75,865.60, 113,798.40 and 38,540.80 is: 57,811.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,865.60 : 113,798.40 = 38,540.80 : x
  2. Step 2: Convert to fraction form
    75,865.60/113,798.40 = 38,540.80/x
  3. Step 3: Cross multiply
    75,865.60x = 113,798.40 × 38,540.80
  4. Step 4: Simplify right side
    75,865.60x = 4,385,881,374.72
  5. Step 5: Solve for x
    x = 4,385,881,374.72/75,865.60
  6. Step 6: Final answer
    x = 57,811.20

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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.