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Finding the Fourth Proportional to 139,992.24, 209,855.28 and 89,248.80

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Solution

The fourth proportional to 139,992.24, 209,855.28 and 89,248.80 is: 133,788.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,992.24 : 209,855.28 = 89,248.80 : x
  2. Step 2: Convert to fraction form
    139,992.24/209,855.28 = 89,248.80/x
  3. Step 3: Cross multiply
    139,992.24x = 209,855.28 × 89,248.80
  4. Step 4: Simplify right side
    139,992.24x = 18,729,331,913.66
  5. Step 5: Solve for x
    x = 18,729,331,913.66/139,992.24
  6. Step 6: Final answer
    x = 133,788.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.