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Finding the Fourth Proportional to 55,147.50, 82,721.52 and 13,594.50

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Solution

The fourth proportional to 55,147.50, 82,721.52 and 13,594.50 is: 20,391.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,147.50 : 82,721.52 = 13,594.50 : x
  2. Step 2: Convert to fraction form
    55,147.50/82,721.52 = 13,594.50/x
  3. Step 3: Cross multiply
    55,147.50x = 82,721.52 × 13,594.50
  4. Step 4: Simplify right side
    55,147.50x = 1,124,557,703.64
  5. Step 5: Solve for x
    x = 1,124,557,703.64/55,147.50
  6. Step 6: Final answer
    x = 20,391.82

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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.