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Finding the Fourth Proportional to 55,329.78, 82,952.13 and 28,647.16

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Solution

The fourth proportional to 55,329.78, 82,952.13 and 28,647.16 is: 42,948.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,329.78 : 82,952.13 = 28,647.16 : x
  2. Step 2: Convert to fraction form
    55,329.78/82,952.13 = 28,647.16/x
  3. Step 3: Cross multiply
    55,329.78x = 82,952.13 × 28,647.16
  4. Step 4: Simplify right side
    55,329.78x = 2,376,342,940.45
  5. Step 5: Solve for x
    x = 2,376,342,940.45/55,329.78
  6. Step 6: Final answer
    x = 42,948.71

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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.