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Finding the Fourth Proportional to 151,734.50, 209,400.18 and 84,666.50

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Solution

The fourth proportional to 151,734.50, 209,400.18 and 84,666.50 is: 116,843.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,734.50 : 209,400.18 = 84,666.50 : x
  2. Step 2: Convert to fraction form
    151,734.50/209,400.18 = 84,666.50/x
  3. Step 3: Cross multiply
    151,734.50x = 209,400.18 × 84,666.50
  4. Step 4: Simplify right side
    151,734.50x = 17,729,180,339.97
  5. Step 5: Solve for x
    x = 17,729,180,339.97/151,734.50
  6. Step 6: Final answer
    x = 116,843.44

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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.