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Finding the Fourth Proportional to 51,798.72, 71,480.16 and 29,138.16

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Solution

The fourth proportional to 51,798.72, 71,480.16 and 29,138.16 is: 40,209.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,798.72 : 71,480.16 = 29,138.16 : x
  2. Step 2: Convert to fraction form
    51,798.72/71,480.16 = 29,138.16/x
  3. Step 3: Cross multiply
    51,798.72x = 71,480.16 × 29,138.16
  4. Step 4: Simplify right side
    51,798.72x = 2,082,800,338.91
  5. Step 5: Solve for x
    x = 2,082,800,338.91/51,798.72
  6. Step 6: Final answer
    x = 40,209.49

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1.5x scale

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.