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Finding the Fourth Proportional to 275,013.86, 412,521.14 and 75,336

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Solution

The fourth proportional to 275,013.86, 412,521.14 and 75,336 is: 113,004.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,013.86 : 412,521.14 = 75,336 : x
  2. Step 2: Convert to fraction form
    275,013.86/412,521.14 = 75,336/x
  3. Step 3: Cross multiply
    275,013.86x = 412,521.14 × 75,336
  4. Step 4: Simplify right side
    275,013.86x = 31,077,692,603.04
  5. Step 5: Solve for x
    x = 31,077,692,603.04/275,013.86
  6. Step 6: Final answer
    x = 113,004.10

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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.