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Finding the Fourth Proportional to 138,833.44, 208,223.66 and 67,684.66

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Solution

The fourth proportional to 138,833.44, 208,223.66 and 67,684.66 is: 101,514.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,833.44 : 208,223.66 = 67,684.66 : x
  2. Step 2: Convert to fraction form
    138,833.44/208,223.66 = 67,684.66/x
  3. Step 3: Cross multiply
    138,833.44x = 208,223.66 × 67,684.66
  4. Step 4: Simplify right side
    138,833.44x = 14,093,547,631.06
  5. Step 5: Solve for x
    x = 14,093,547,631.06/138,833.44
  6. Step 6: Final answer
    x = 101,514.07

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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.