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Finding the Fourth Proportional to 100,693.80, 151,062.30 and 30,580.20

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Solution

The fourth proportional to 100,693.80, 151,062.30 and 30,580.20 is: 45,876.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,693.80 : 151,062.30 = 30,580.20 : x
  2. Step 2: Convert to fraction form
    100,693.80/151,062.30 = 30,580.20/x
  3. Step 3: Cross multiply
    100,693.80x = 151,062.30 × 30,580.20
  4. Step 4: Simplify right side
    100,693.80x = 4,619,515,346.46
  5. Step 5: Solve for x
    x = 4,619,515,346.46/100,693.80
  6. Step 6: Final answer
    x = 45,876.86

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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.