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Finding the Fourth Proportional to 115,320, 172,980.16 and 27,768

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Solution

The fourth proportional to 115,320, 172,980.16 and 27,768 is: 41,652.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,320 : 172,980.16 = 27,768 : x
  2. Step 2: Convert to fraction form
    115,320/172,980.16 = 27,768/x
  3. Step 3: Cross multiply
    115,320x = 172,980.16 × 27,768
  4. Step 4: Simplify right side
    115,320x = 4,803,313,082.88
  5. Step 5: Solve for x
    x = 4,803,313,082.88/115,320
  6. Step 6: Final answer
    x = 41,652.04

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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.