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Finding the Fourth Proportional to 209,821.58, 314,781.56 and 83,469

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Solution

The fourth proportional to 209,821.58, 314,781.56 and 83,469 is: 125,223.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,821.58 : 314,781.56 = 83,469 : x
  2. Step 2: Convert to fraction form
    209,821.58/314,781.56 = 83,469/x
  3. Step 3: Cross multiply
    209,821.58x = 314,781.56 × 83,469
  4. Step 4: Simplify right side
    209,821.58x = 26,274,502,031.64
  5. Step 5: Solve for x
    x = 26,274,502,031.64/209,821.58
  6. Step 6: Final answer
    x = 125,223.07

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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.