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Finding the Fourth Proportional to 241,005.78, 361,503 and 83,219.40

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Solution

The fourth proportional to 241,005.78, 361,503 and 83,219.40 is: 124,827.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,005.78 : 361,503 = 83,219.40 : x
  2. Step 2: Convert to fraction form
    241,005.78/361,503 = 83,219.40/x
  3. Step 3: Cross multiply
    241,005.78x = 361,503 × 83,219.40
  4. Step 4: Simplify right side
    241,005.78x = 30,084,062,758.20
  5. Step 5: Solve for x
    x = 30,084,062,758.20/241,005.78
  6. Step 6: Final answer
    x = 124,827.14

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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.