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Finding the Fourth Proportional to 90,625.72, 135,741.48 and 43,780

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Solution

The fourth proportional to 90,625.72, 135,741.48 and 43,780 is: 65,574.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,625.72 : 135,741.48 = 43,780 : x
  2. Step 2: Convert to fraction form
    90,625.72/135,741.48 = 43,780/x
  3. Step 3: Cross multiply
    90,625.72x = 135,741.48 × 43,780
  4. Step 4: Simplify right side
    90,625.72x = 5,942,761,994.40
  5. Step 5: Solve for x
    x = 5,942,761,994.40/90,625.72
  6. Step 6: Final answer
    x = 65,574.78

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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.