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Finding the Fourth Proportional to 139,988.57, 209,849.82 and 89,245.16

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Solution

The fourth proportional to 139,988.57, 209,849.82 and 89,245.16 is: 133,782.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,988.57 : 209,849.82 = 89,245.16 : x
  2. Step 2: Convert to fraction form
    139,988.57/209,849.82 = 89,245.16/x
  3. Step 3: Cross multiply
    139,988.57x = 209,849.82 × 89,245.16
  4. Step 4: Simplify right side
    139,988.57x = 18,728,079,712.62
  5. Step 5: Solve for x
    x = 18,728,079,712.62/139,988.57
  6. Step 6: Final answer
    x = 133,782.93

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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.