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Finding the Fourth Proportional to 54,455.78, 81,595.98 and 45,707.78

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Solution

The fourth proportional to 54,455.78, 81,595.98 and 45,707.78 is: 68,488.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,455.78 : 81,595.98 = 45,707.78 : x
  2. Step 2: Convert to fraction form
    54,455.78/81,595.98 = 45,707.78/x
  3. Step 3: Cross multiply
    54,455.78x = 81,595.98 × 45,707.78
  4. Step 4: Simplify right side
    54,455.78x = 3,729,570,694.74
  5. Step 5: Solve for x
    x = 3,729,570,694.74/54,455.78
  6. Step 6: Final answer
    x = 68,488.07

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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.