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Finding the Fourth Proportional to 128,820.96, 177,766.68 and 71,462.57

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Solution

The fourth proportional to 128,820.96, 177,766.68 and 71,462.57 is: 98,614.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,820.96 : 177,766.68 = 71,462.57 : x
  2. Step 2: Convert to fraction form
    128,820.96/177,766.68 = 71,462.57/x
  3. Step 3: Cross multiply
    128,820.96x = 177,766.68 × 71,462.57
  4. Step 4: Simplify right side
    128,820.96x = 12,703,662,924.33
  5. Step 5: Solve for x
    x = 12,703,662,924.33/128,820.96
  6. Step 6: Final answer
    x = 98,614.88

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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.