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Finding the Fourth Proportional to 151,959.40, 209,703.78 and 84,891.40

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Solution

The fourth proportional to 151,959.40, 209,703.78 and 84,891.40 is: 117,150.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,959.40 : 209,703.78 = 84,891.40 : x
  2. Step 2: Convert to fraction form
    151,959.40/209,703.78 = 84,891.40/x
  3. Step 3: Cross multiply
    151,959.40x = 209,703.78 × 84,891.40
  4. Step 4: Simplify right side
    151,959.40x = 17,802,047,469.49
  5. Step 5: Solve for x
    x = 17,802,047,469.49/151,959.40
  6. Step 6: Final answer
    x = 117,150.02

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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.