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Finding the Fourth Proportional to 131,052.78, 180,854.10 and 74,464.56

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Solution

The fourth proportional to 131,052.78, 180,854.10 and 74,464.56 is: 102,761.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,052.78 : 180,854.10 = 74,464.56 : x
  2. Step 2: Convert to fraction form
    131,052.78/180,854.10 = 74,464.56/x
  3. Step 3: Cross multiply
    131,052.78x = 180,854.10 × 74,464.56
  4. Step 4: Simplify right side
    131,052.78x = 13,467,220,980.70
  5. Step 5: Solve for x
    x = 13,467,220,980.70/131,052.78
  6. Step 6: Final answer
    x = 102,761.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.