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Finding the Fourth Proportional to 101,129, 151,693.50 and 27,257

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Solution

The fourth proportional to 101,129, 151,693.50 and 27,257 is: 40,885.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,129 : 151,693.50 = 27,257 : x
  2. Step 2: Convert to fraction form
    101,129/151,693.50 = 27,257/x
  3. Step 3: Cross multiply
    101,129x = 151,693.50 × 27,257
  4. Step 4: Simplify right side
    101,129x = 4,134,709,729.50
  5. Step 5: Solve for x
    x = 4,134,709,729.50/101,129
  6. Step 6: Final answer
    x = 40,885.50

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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.