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Finding the Fourth Proportional to 101,207.73, 151,785.07 and 30,111.20

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Solution

The fourth proportional to 101,207.73, 151,785.07 and 30,111.20 is: 45,158.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,207.73 : 151,785.07 = 30,111.20 : x
  2. Step 2: Convert to fraction form
    101,207.73/151,785.07 = 30,111.20/x
  3. Step 3: Cross multiply
    101,207.73x = 151,785.07 × 30,111.20
  4. Step 4: Simplify right side
    101,207.73x = 4,570,430,599.78
  5. Step 5: Solve for x
    x = 4,570,430,599.78/101,207.73
  6. Step 6: Final answer
    x = 45,158.91

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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.