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Finding the Fourth Proportional to 100,838.56, 151,275.12 and 30,704.80

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Solution

The fourth proportional to 100,838.56, 151,275.12 and 30,704.80 is: 46,062.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,838.56 : 151,275.12 = 30,704.80 : x
  2. Step 2: Convert to fraction form
    100,838.56/151,275.12 = 30,704.80/x
  3. Step 3: Cross multiply
    100,838.56x = 151,275.12 × 30,704.80
  4. Step 4: Simplify right side
    100,838.56x = 4,644,872,304.58
  5. Step 5: Solve for x
    x = 4,644,872,304.58/100,838.56
  6. Step 6: Final answer
    x = 46,062.46

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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.