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Finding the Fourth Proportional to 51,213.40, 76,748.10 and 40,701.40

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Solution

The fourth proportional to 51,213.40, 76,748.10 and 40,701.40 is: 60,994.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,213.40 : 76,748.10 = 40,701.40 : x
  2. Step 2: Convert to fraction form
    51,213.40/76,748.10 = 40,701.40/x
  3. Step 3: Cross multiply
    51,213.40x = 76,748.10 × 40,701.40
  4. Step 4: Simplify right side
    51,213.40x = 3,123,755,117.34
  5. Step 5: Solve for x
    x = 3,123,755,117.34/51,213.40
  6. Step 6: Final answer
    x = 60,994.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.