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Finding the Fourth Proportional to 151,822, 209,517.60 and 84,754

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Solution

The fourth proportional to 151,822, 209,517.60 and 84,754 is: 116,962.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,822 : 209,517.60 = 84,754 : x
  2. Step 2: Convert to fraction form
    151,822/209,517.60 = 84,754/x
  3. Step 3: Cross multiply
    151,822x = 209,517.60 × 84,754
  4. Step 4: Simplify right side
    151,822x = 17,757,454,670.40
  5. Step 5: Solve for x
    x = 17,757,454,670.40/151,822
  6. Step 6: Final answer
    x = 116,962.33

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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.