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Finding the Fourth Proportional to 191,684.26, 287,390.31 and 73,255.78

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Solution

The fourth proportional to 191,684.26, 287,390.31 and 73,255.78 is: 109,831.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,684.26 : 287,390.31 = 73,255.78 : x
  2. Step 2: Convert to fraction form
    191,684.26/287,390.31 = 73,255.78/x
  3. Step 3: Cross multiply
    191,684.26x = 287,390.31 × 73,255.78
  4. Step 4: Simplify right side
    191,684.26x = 21,053,001,323.49
  5. Step 5: Solve for x
    x = 21,053,001,323.49/191,684.26
  6. Step 6: Final answer
    x = 109,831.66

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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.