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Finding the Fourth Proportional to 217,042.80, 325,580.40 and 76,783.20

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Solution

The fourth proportional to 217,042.80, 325,580.40 and 76,783.20 is: 115,180.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,042.80 : 325,580.40 = 76,783.20 : x
  2. Step 2: Convert to fraction form
    217,042.80/325,580.40 = 76,783.20/x
  3. Step 3: Cross multiply
    217,042.80x = 325,580.40 × 76,783.20
  4. Step 4: Simplify right side
    217,042.80x = 24,999,104,969.28
  5. Step 5: Solve for x
    x = 24,999,104,969.28/217,042.80
  6. Step 6: Final answer
    x = 115,180.53

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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.