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Finding the Fourth Proportional to 77,112.69, 115,678.28 and 27,182.46

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Solution

The fourth proportional to 77,112.69, 115,678.28 and 27,182.46 is: 40,776.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,112.69 : 115,678.28 = 27,182.46 : x
  2. Step 2: Convert to fraction form
    77,112.69/115,678.28 = 27,182.46/x
  3. Step 3: Cross multiply
    77,112.69x = 115,678.28 × 27,182.46
  4. Step 4: Simplify right side
    77,112.69x = 3,144,420,218.97
  5. Step 5: Solve for x
    x = 3,144,420,218.97/77,112.69
  6. Step 6: Final answer
    x = 40,776.95

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1.5x scale

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.