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Finding the Fourth Proportional to 77,882.51, 107,406.09 and 51,995.49

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Solution

The fourth proportional to 77,882.51, 107,406.09 and 51,995.49 is: 71,705.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,882.51 : 107,406.09 = 51,995.49 : x
  2. Step 2: Convert to fraction form
    77,882.51/107,406.09 = 51,995.49/x
  3. Step 3: Cross multiply
    77,882.51x = 107,406.09 × 51,995.49
  4. Step 4: Simplify right side
    77,882.51x = 5,584,632,278.53
  5. Step 5: Solve for x
    x = 5,584,632,278.53/77,882.51
  6. Step 6: Final answer
    x = 71,705.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.