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Finding the Fourth Proportional to 51,412.40, 70,941.12 and 29,906.88

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Solution

The fourth proportional to 51,412.40, 70,941.12 and 29,906.88 is: 41,266.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,412.40 : 70,941.12 = 29,906.88 : x
  2. Step 2: Convert to fraction form
    51,412.40/70,941.12 = 29,906.88/x
  3. Step 3: Cross multiply
    51,412.40x = 70,941.12 × 29,906.88
  4. Step 4: Simplify right side
    51,412.40x = 2,121,627,562.91
  5. Step 5: Solve for x
    x = 2,121,627,562.91/51,412.40
  6. Step 6: Final answer
    x = 41,266.85

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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.