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Finding the Fourth Proportional to 216,952.72, 299,359.11 and 136,323.14

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Solution

The fourth proportional to 216,952.72, 299,359.11 and 136,323.14 is: 188,103.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,952.72 : 299,359.11 = 136,323.14 : x
  2. Step 2: Convert to fraction form
    216,952.72/299,359.11 = 136,323.14/x
  3. Step 3: Cross multiply
    216,952.72x = 299,359.11 × 136,323.14
  4. Step 4: Simplify right side
    216,952.72x = 40,809,575,122.42
  5. Step 5: Solve for x
    x = 40,809,575,122.42/216,952.72
  6. Step 6: Final answer
    x = 188,103.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.