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Finding the Fourth Proportional to 185,602.86, 256,132.56 and 100,719.90

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Solution

The fourth proportional to 185,602.86, 256,132.56 and 100,719.90 is: 138,993.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,602.86 : 256,132.56 = 100,719.90 : x
  2. Step 2: Convert to fraction form
    185,602.86/256,132.56 = 100,719.90/x
  3. Step 3: Cross multiply
    185,602.86x = 256,132.56 × 100,719.90
  4. Step 4: Simplify right side
    185,602.86x = 25,797,645,829.94
  5. Step 5: Solve for x
    x = 25,797,645,829.94/185,602.86
  6. Step 6: Final answer
    x = 138,993.79

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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.