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Finding the Fourth Proportional to 54,453, 74,911.86 and 52,120.20

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Solution

The fourth proportional to 54,453, 74,911.86 and 52,120.20 is: 71,702.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,453 : 74,911.86 = 52,120.20 : x
  2. Step 2: Convert to fraction form
    54,453/74,911.86 = 52,120.20/x
  3. Step 3: Cross multiply
    54,453x = 74,911.86 × 52,120.20
  4. Step 4: Simplify right side
    54,453x = 3,904,421,125.57
  5. Step 5: Solve for x
    x = 3,904,421,125.57/54,453
  6. Step 6: Final answer
    x = 71,702.59

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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.