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Finding the Fourth Proportional to 100,833, 151,276.91 and 30,712.38

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Solution

The fourth proportional to 100,833, 151,276.91 and 30,712.38 is: 46,076.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,833 : 151,276.91 = 30,712.38 : x
  2. Step 2: Convert to fraction form
    100,833/151,276.91 = 30,712.38/x
  3. Step 3: Cross multiply
    100,833x = 151,276.91 × 30,712.38
  4. Step 4: Simplify right side
    100,833x = 4,646,073,791.58
  5. Step 5: Solve for x
    x = 4,646,073,791.58/100,833
  6. Step 6: Final answer
    x = 46,076.92

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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.