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Finding the Fourth Proportional to 270,155.88, 405,233.82 and 103,905

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Solution

The fourth proportional to 270,155.88, 405,233.82 and 103,905 is: 155,857.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,155.88 : 405,233.82 = 103,905 : x
  2. Step 2: Convert to fraction form
    270,155.88/405,233.82 = 103,905/x
  3. Step 3: Cross multiply
    270,155.88x = 405,233.82 × 103,905
  4. Step 4: Simplify right side
    270,155.88x = 42,105,820,067.10
  5. Step 5: Solve for x
    x = 42,105,820,067.10/270,155.88
  6. Step 6: Final answer
    x = 155,857.50

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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.