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Finding the Fourth Proportional to 77,049.93, 115,542.09 and 30,270

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Solution

The fourth proportional to 77,049.93, 115,542.09 and 30,270 is: 45,392.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,049.93 : 115,542.09 = 30,270 : x
  2. Step 2: Convert to fraction form
    77,049.93/115,542.09 = 30,270/x
  3. Step 3: Cross multiply
    77,049.93x = 115,542.09 × 30,270
  4. Step 4: Simplify right side
    77,049.93x = 3,497,459,064.30
  5. Step 5: Solve for x
    x = 3,497,459,064.30/77,049.93
  6. Step 6: Final answer
    x = 45,392.11

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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.