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Finding the Fourth Proportional to 217,132, 299,659.52 and 127,725.28

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Solution

The fourth proportional to 217,132, 299,659.52 and 127,725.28 is: 176,271.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,132 : 299,659.52 = 127,725.28 : x
  2. Step 2: Convert to fraction form
    217,132/299,659.52 = 127,725.28/x
  3. Step 3: Cross multiply
    217,132x = 299,659.52 × 127,725.28
  4. Step 4: Simplify right side
    217,132x = 38,274,096,096.67
  5. Step 5: Solve for x
    x = 38,274,096,096.67/217,132
  6. Step 6: Final answer
    x = 176,271.10

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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.