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Finding the Fourth Proportional to 83,777.93, 115,575 and 74,227.56

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Solution

The fourth proportional to 83,777.93, 115,575 and 74,227.56 is: 102,399.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,777.93 : 115,575 = 74,227.56 : x
  2. Step 2: Convert to fraction form
    83,777.93/115,575 = 74,227.56/x
  3. Step 3: Cross multiply
    83,777.93x = 115,575 × 74,227.56
  4. Step 4: Simplify right side
    83,777.93x = 8,578,850,247
  5. Step 5: Solve for x
    x = 8,578,850,247/83,777.93
  6. Step 6: Final answer
    x = 102,399.89

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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.