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Finding the Fourth Proportional to 77,290, 115,901.24 and 27,353.50

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Solution

The fourth proportional to 77,290, 115,901.24 and 27,353.50 is: 41,018.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,290 : 115,901.24 = 27,353.50 : x
  2. Step 2: Convert to fraction form
    77,290/115,901.24 = 27,353.50/x
  3. Step 3: Cross multiply
    77,290x = 115,901.24 × 27,353.50
  4. Step 4: Simplify right side
    77,290x = 3,170,304,568.34
  5. Step 5: Solve for x
    x = 3,170,304,568.34/77,290
  6. Step 6: Final answer
    x = 41,018.30

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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.