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Finding the Fourth Proportional to 54,654, 75,409.56 and 30,775.92

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Solution

The fourth proportional to 54,654, 75,409.56 and 30,775.92 is: 42,463.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,654 : 75,409.56 = 30,775.92 : x
  2. Step 2: Convert to fraction form
    54,654/75,409.56 = 30,775.92/x
  3. Step 3: Cross multiply
    54,654x = 75,409.56 × 30,775.92
  4. Step 4: Simplify right side
    54,654x = 2,320,798,585.80
  5. Step 5: Solve for x
    x = 2,320,798,585.80/54,654
  6. Step 6: Final answer
    x = 42,463.47

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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.