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Finding the Fourth Proportional to 75,443.76, 113,063.52 and 28,671.12

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Solution

The fourth proportional to 75,443.76, 113,063.52 and 28,671.12 is: 42,967.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,443.76 : 113,063.52 = 28,671.12 : x
  2. Step 2: Convert to fraction form
    75,443.76/113,063.52 = 28,671.12/x
  3. Step 3: Cross multiply
    75,443.76x = 113,063.52 × 28,671.12
  4. Step 4: Simplify right side
    75,443.76x = 3,241,657,749.54
  5. Step 5: Solve for x
    x = 3,241,657,749.54/75,443.76
  6. Step 6: Final answer
    x = 42,967.87

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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.