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Finding the Fourth Proportional to 209,490.77, 313,988.92 and 89,512.63

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Solution

The fourth proportional to 209,490.77, 313,988.92 and 89,512.63 is: 134,163.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,490.77 : 313,988.92 = 89,512.63 : x
  2. Step 2: Convert to fraction form
    209,490.77/313,988.92 = 89,512.63/x
  3. Step 3: Cross multiply
    209,490.77x = 313,988.92 × 89,512.63
  4. Step 4: Simplify right side
    209,490.77x = 28,105,974,020.06
  5. Step 5: Solve for x
    x = 28,105,974,020.06/209,490.77
  6. Step 6: Final answer
    x = 134,163.30

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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.