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Finding the Fourth Proportional to 128,978.11, 177,987.27 and 71,614.47

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Solution

The fourth proportional to 128,978.11, 177,987.27 and 71,614.47 is: 98,826.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,978.11 : 177,987.27 = 71,614.47 : x
  2. Step 2: Convert to fraction form
    128,978.11/177,987.27 = 71,614.47/x
  3. Step 3: Cross multiply
    128,978.11x = 177,987.27 × 71,614.47
  4. Step 4: Simplify right side
    128,978.11x = 12,746,464,007.80
  5. Step 5: Solve for x
    x = 12,746,464,007.80/128,978.11
  6. Step 6: Final answer
    x = 98,826.57

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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.