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Finding the Fourth Proportional to 54,859.61, 82,292.61 and 15,419.79

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Solution

The fourth proportional to 54,859.61, 82,292.61 and 15,419.79 is: 23,130.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,859.61 : 82,292.61 = 15,419.79 : x
  2. Step 2: Convert to fraction form
    54,859.61/82,292.61 = 15,419.79/x
  3. Step 3: Cross multiply
    54,859.61x = 82,292.61 × 15,419.79
  4. Step 4: Simplify right side
    54,859.61x = 1,268,934,764.75
  5. Step 5: Solve for x
    x = 1,268,934,764.75/54,859.61
  6. Step 6: Final answer
    x = 23,130.59

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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.