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Finding the Fourth Proportional to 47,174.72, 65,074.08 and 29,480

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Solution

The fourth proportional to 47,174.72, 65,074.08 and 29,480 is: 40,665.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,174.72 : 65,074.08 = 29,480 : x
  2. Step 2: Convert to fraction form
    47,174.72/65,074.08 = 29,480/x
  3. Step 3: Cross multiply
    47,174.72x = 65,074.08 × 29,480
  4. Step 4: Simplify right side
    47,174.72x = 1,918,383,878.40
  5. Step 5: Solve for x
    x = 1,918,383,878.40/47,174.72
  6. Step 6: Final answer
    x = 40,665.51

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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.