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Finding the Fourth Proportional to 209,542.80, 314,314.20 and 83,213.18

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Solution

The fourth proportional to 209,542.80, 314,314.20 and 83,213.18 is: 124,819.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,542.80 : 314,314.20 = 83,213.18 : x
  2. Step 2: Convert to fraction form
    209,542.80/314,314.20 = 83,213.18/x
  3. Step 3: Cross multiply
    209,542.80x = 314,314.20 × 83,213.18
  4. Step 4: Simplify right side
    209,542.80x = 26,155,084,101.16
  5. Step 5: Solve for x
    x = 26,155,084,101.16/209,542.80
  6. Step 6: Final answer
    x = 124,819.77

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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.