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Finding the Fourth Proportional to 216,971.76, 325,207.80 and 83,793.36

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Solution

The fourth proportional to 216,971.76, 325,207.80 and 83,793.36 is: 125,593.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,971.76 : 325,207.80 = 83,793.36 : x
  2. Step 2: Convert to fraction form
    216,971.76/325,207.80 = 83,793.36/x
  3. Step 3: Cross multiply
    216,971.76x = 325,207.80 × 83,793.36
  4. Step 4: Simplify right side
    216,971.76x = 27,250,254,260.21
  5. Step 5: Solve for x
    x = 27,250,254,260.21/216,971.76
  6. Step 6: Final answer
    x = 125,593.55

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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.