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Finding the Fourth Proportional to 152,020.68, 209,788.82 and 84,952.68

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Solution

The fourth proportional to 152,020.68, 209,788.82 and 84,952.68 is: 117,234.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,020.68 : 209,788.82 = 84,952.68 : x
  2. Step 2: Convert to fraction form
    152,020.68/209,788.82 = 84,952.68/x
  3. Step 3: Cross multiply
    152,020.68x = 209,788.82 × 84,952.68
  4. Step 4: Simplify right side
    152,020.68x = 17,822,122,493.04
  5. Step 5: Solve for x
    x = 17,822,122,493.04/152,020.68
  6. Step 6: Final answer
    x = 117,234.86

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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.