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Finding the Fourth Proportional to 209,550.30, 314,325.45 and 84,891.30

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Solution

The fourth proportional to 209,550.30, 314,325.45 and 84,891.30 is: 127,336.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,550.30 : 314,325.45 = 84,891.30 : x
  2. Step 2: Convert to fraction form
    209,550.30/314,325.45 = 84,891.30/x
  3. Step 3: Cross multiply
    209,550.30x = 314,325.45 × 84,891.30
  4. Step 4: Simplify right side
    209,550.30x = 26,683,496,073.59
  5. Step 5: Solve for x
    x = 26,683,496,073.59/209,550.30
  6. Step 6: Final answer
    x = 127,336.95

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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.