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Finding the Fourth Proportional to 152,043.48, 209,863.79 and 100,398.29

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Solution

The fourth proportional to 152,043.48, 209,863.79 and 100,398.29 is: 138,578.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,043.48 : 209,863.79 = 100,398.29 : x
  2. Step 2: Convert to fraction form
    152,043.48/209,863.79 = 100,398.29/x
  3. Step 3: Cross multiply
    152,043.48x = 209,863.79 × 100,398.29
  4. Step 4: Simplify right side
    152,043.48x = 21,069,964,191.73
  5. Step 5: Solve for x
    x = 21,069,964,191.73/152,043.48
  6. Step 6: Final answer
    x = 138,578.54

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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.