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Finding the Fourth Proportional to 151,684.94, 209,323.79 and 83,702.49

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Solution

The fourth proportional to 151,684.94, 209,323.79 and 83,702.49 is: 115,508.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,684.94 : 209,323.79 = 83,702.49 : x
  2. Step 2: Convert to fraction form
    151,684.94/209,323.79 = 83,702.49/x
  3. Step 3: Cross multiply
    151,684.94x = 209,323.79 × 83,702.49
  4. Step 4: Simplify right side
    151,684.94x = 17,520,922,020.72
  5. Step 5: Solve for x
    x = 17,520,922,020.72/151,684.94
  6. Step 6: Final answer
    x = 115,508.65

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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.