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Finding the Fourth Proportional to 101,391, 152,086.50 and 27,519

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Solution

The fourth proportional to 101,391, 152,086.50 and 27,519 is: 41,278.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,391 : 152,086.50 = 27,519 : x
  2. Step 2: Convert to fraction form
    101,391/152,086.50 = 27,519/x
  3. Step 3: Cross multiply
    101,391x = 152,086.50 × 27,519
  4. Step 4: Simplify right side
    101,391x = 4,185,268,393.50
  5. Step 5: Solve for x
    x = 4,185,268,393.50/101,391
  6. Step 6: Final answer
    x = 41,278.50

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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.