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Finding the Fourth Proportional to 217,083.29, 299,588.75 and 121,595.82

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Solution

The fourth proportional to 217,083.29, 299,588.75 and 121,595.82 is: 167,809.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,083.29 : 299,588.75 = 121,595.82 : x
  2. Step 2: Convert to fraction form
    217,083.29/299,588.75 = 121,595.82/x
  3. Step 3: Cross multiply
    217,083.29x = 299,588.75 × 121,595.82
  4. Step 4: Simplify right side
    217,083.29x = 36,428,739,111.05
  5. Step 5: Solve for x
    x = 36,428,739,111.05/217,083.29
  6. Step 6: Final answer
    x = 167,809.97

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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.