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Finding the Fourth Proportional to 217,332, 299,919.24 and 126,750.78

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Solution

The fourth proportional to 217,332, 299,919.24 and 126,750.78 is: 174,916.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,332 : 299,919.24 = 126,750.78 : x
  2. Step 2: Convert to fraction form
    217,332/299,919.24 = 126,750.78/x
  3. Step 3: Cross multiply
    217,332x = 299,919.24 × 126,750.78
  4. Step 4: Simplify right side
    217,332x = 38,014,997,607.01
  5. Step 5: Solve for x
    x = 38,014,997,607.01/217,332
  6. Step 6: Final answer
    x = 174,916.71

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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.