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Finding the Fourth Proportional to 151,761.68, 209,452.24 and 84,698

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Solution

The fourth proportional to 151,761.68, 209,452.24 and 84,698 is: 116,895.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,761.68 : 209,452.24 = 84,698 : x
  2. Step 2: Convert to fraction form
    151,761.68/209,452.24 = 84,698/x
  3. Step 3: Cross multiply
    151,761.68x = 209,452.24 × 84,698
  4. Step 4: Simplify right side
    151,761.68x = 17,740,185,823.52
  5. Step 5: Solve for x
    x = 17,740,185,823.52/151,761.68
  6. Step 6: Final answer
    x = 116,895.03

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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.