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Finding the Fourth Proportional to 45,138.30, 62,285.49 and 27,907.98

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Solution

The fourth proportional to 45,138.30, 62,285.49 and 27,907.98 is: 38,509.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,138.30 : 62,285.49 = 27,907.98 : x
  2. Step 2: Convert to fraction form
    45,138.30/62,285.49 = 27,907.98/x
  3. Step 3: Cross multiply
    45,138.30x = 62,285.49 × 27,907.98
  4. Step 4: Simplify right side
    45,138.30x = 1,738,262,209.21
  5. Step 5: Solve for x
    x = 1,738,262,209.21/45,138.30
  6. Step 6: Final answer
    x = 38,509.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.