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Finding the Fourth Proportional to 75,755.20, 113,480.96 and 45,752

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Solution

The fourth proportional to 75,755.20, 113,480.96 and 45,752 is: 68,536.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,755.20 : 113,480.96 = 45,752 : x
  2. Step 2: Convert to fraction form
    75,755.20/113,480.96 = 45,752/x
  3. Step 3: Cross multiply
    75,755.20x = 113,480.96 × 45,752
  4. Step 4: Simplify right side
    75,755.20x = 5,191,980,881.92
  5. Step 5: Solve for x
    x = 5,191,980,881.92/75,755.20
  6. Step 6: Final answer
    x = 68,536.30

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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.