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Finding the Fourth Proportional to 75,381.20, 113,068.16 and 28,630.44

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Solution

The fourth proportional to 75,381.20, 113,068.16 and 28,630.44 is: 42,944.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,381.20 : 113,068.16 = 28,630.44 : x
  2. Step 2: Convert to fraction form
    75,381.20/113,068.16 = 28,630.44/x
  3. Step 3: Cross multiply
    75,381.20x = 113,068.16 × 28,630.44
  4. Step 4: Simplify right side
    75,381.20x = 3,237,191,170.79
  5. Step 5: Solve for x
    x = 3,237,191,170.79/75,381.20
  6. Step 6: Final answer
    x = 42,944.28

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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.