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Finding the Fourth Proportional to 217,703.28, 326,675.88 and 117,862

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Solution

The fourth proportional to 217,703.28, 326,675.88 and 117,862 is: 176,858.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,703.28 : 326,675.88 = 117,862 : x
  2. Step 2: Convert to fraction form
    217,703.28/326,675.88 = 117,862/x
  3. Step 3: Cross multiply
    217,703.28x = 326,675.88 × 117,862
  4. Step 4: Simplify right side
    217,703.28x = 38,502,672,568.56
  5. Step 5: Solve for x
    x = 38,502,672,568.56/217,703.28
  6. Step 6: Final answer
    x = 176,858.49

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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.