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Finding the Fourth Proportional to 209,891.61, 314,859.33 and 89,960.58

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Solution

The fourth proportional to 209,891.61, 314,859.33 and 89,960.58 is: 134,950.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,891.61 : 314,859.33 = 89,960.58 : x
  2. Step 2: Convert to fraction form
    209,891.61/314,859.33 = 89,960.58/x
  3. Step 3: Cross multiply
    209,891.61x = 314,859.33 × 89,960.58
  4. Step 4: Simplify right side
    209,891.61x = 28,324,927,945.21
  5. Step 5: Solve for x
    x = 28,324,927,945.21/209,891.61
  6. Step 6: Final answer
    x = 134,950.26

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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.