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Finding the Fourth Proportional to 101,820, 152,732.88 and 27,948

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Solution

The fourth proportional to 101,820, 152,732.88 and 27,948 is: 41,922.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,820 : 152,732.88 = 27,948 : x
  2. Step 2: Convert to fraction form
    101,820/152,732.88 = 27,948/x
  3. Step 3: Cross multiply
    101,820x = 152,732.88 × 27,948
  4. Step 4: Simplify right side
    101,820x = 4,268,578,530.24
  5. Step 5: Solve for x
    x = 4,268,578,530.24/101,820
  6. Step 6: Final answer
    x = 41,922.79

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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.