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Finding the Fourth Proportional to 51,972, 71,728.38 and 29,315.64

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Solution

The fourth proportional to 51,972, 71,728.38 and 29,315.64 is: 40,459.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,972 : 71,728.38 = 29,315.64 : x
  2. Step 2: Convert to fraction form
    51,972/71,728.38 = 29,315.64/x
  3. Step 3: Cross multiply
    51,972x = 71,728.38 × 29,315.64
  4. Step 4: Simplify right side
    51,972x = 2,102,763,365.86
  5. Step 5: Solve for x
    x = 2,102,763,365.86/51,972
  6. Step 6: Final answer
    x = 40,459.54

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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.