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Finding the Fourth Proportional to 217,171.14, 299,699.13 and 121,675.78

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Solution

The fourth proportional to 217,171.14, 299,699.13 and 121,675.78 is: 167,914.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,171.14 : 299,699.13 = 121,675.78 : x
  2. Step 2: Convert to fraction form
    217,171.14/299,699.13 = 121,675.78/x
  3. Step 3: Cross multiply
    217,171.14x = 299,699.13 × 121,675.78
  4. Step 4: Simplify right side
    217,171.14x = 36,466,125,408.07
  5. Step 5: Solve for x
    x = 36,466,125,408.07/217,171.14
  6. Step 6: Final answer
    x = 167,914.23

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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.