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Finding the Fourth Proportional to 153,559.52, 211,902.82 and 84,645.97

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Solution

The fourth proportional to 153,559.52, 211,902.82 and 84,645.97 is: 116,806.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,559.52 : 211,902.82 = 84,645.97 : x
  2. Step 2: Convert to fraction form
    153,559.52/211,902.82 = 84,645.97/x
  3. Step 3: Cross multiply
    153,559.52x = 211,902.82 × 84,645.97
  4. Step 4: Simplify right side
    153,559.52x = 17,936,718,261.89
  5. Step 5: Solve for x
    x = 17,936,718,261.89/153,559.52
  6. Step 6: Final answer
    x = 116,806.29

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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.