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Finding the Fourth Proportional to 77,715.72, 107,167.46 and 73,194.30

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Solution

The fourth proportional to 77,715.72, 107,167.46 and 73,194.30 is: 100,932.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,715.72 : 107,167.46 = 73,194.30 : x
  2. Step 2: Convert to fraction form
    77,715.72/107,167.46 = 73,194.30/x
  3. Step 3: Cross multiply
    77,715.72x = 107,167.46 × 73,194.30
  4. Step 4: Simplify right side
    77,715.72x = 7,844,046,851.51
  5. Step 5: Solve for x
    x = 7,844,046,851.51/77,715.72
  6. Step 6: Final answer
    x = 100,932.56

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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.