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Finding the Fourth Proportional to 115,324, 172,986.16 and 27,772

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Solution

The fourth proportional to 115,324, 172,986.16 and 27,772 is: 41,658.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,324 : 172,986.16 = 27,772 : x
  2. Step 2: Convert to fraction form
    115,324/172,986.16 = 27,772/x
  3. Step 3: Cross multiply
    115,324x = 172,986.16 × 27,772
  4. Step 4: Simplify right side
    115,324x = 4,804,171,635.52
  5. Step 5: Solve for x
    x = 4,804,171,635.52/115,324
  6. Step 6: Final answer
    x = 41,658.04

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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.