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Finding the Fourth Proportional to 130,991.72, 180,768.57 and 71,375.72

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Solution

The fourth proportional to 130,991.72, 180,768.57 and 71,375.72 is: 98,498.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,991.72 : 180,768.57 = 71,375.72 : x
  2. Step 2: Convert to fraction form
    130,991.72/180,768.57 = 71,375.72/x
  3. Step 3: Cross multiply
    130,991.72x = 180,768.57 × 71,375.72
  4. Step 4: Simplify right side
    130,991.72x = 12,902,486,837.12
  5. Step 5: Solve for x
    x = 12,902,486,837.12/130,991.72
  6. Step 6: Final answer
    x = 98,498.49

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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.