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Finding the Fourth Proportional to 153,919.68, 230,902.56 and 54,091.68

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Solution

The fourth proportional to 153,919.68, 230,902.56 and 54,091.68 is: 81,145.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,919.68 : 230,902.56 = 54,091.68 : x
  2. Step 2: Convert to fraction form
    153,919.68/230,902.56 = 54,091.68/x
  3. Step 3: Cross multiply
    153,919.68x = 230,902.56 × 54,091.68
  4. Step 4: Simplify right side
    153,919.68x = 12,489,907,386.70
  5. Step 5: Solve for x
    x = 12,489,907,386.70/153,919.68
  6. Step 6: Final answer
    x = 81,145.62

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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.