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Finding the Fourth Proportional to 75,870.72, 113,818.44 and 28,489.48

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Solution

The fourth proportional to 75,870.72, 113,818.44 and 28,489.48 is: 42,738.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,870.72 : 113,818.44 = 28,489.48 : x
  2. Step 2: Convert to fraction form
    75,870.72/113,818.44 = 28,489.48/x
  3. Step 3: Cross multiply
    75,870.72x = 113,818.44 × 28,489.48
  4. Step 4: Simplify right side
    75,870.72x = 3,242,627,458.47
  5. Step 5: Solve for x
    x = 3,242,627,458.47/75,870.72
  6. Step 6: Final answer
    x = 42,738.85

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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.