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Finding the Fourth Proportional to 51,956.88, 77,990.43 and 42,213.81

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Solution

The fourth proportional to 51,956.88, 77,990.43 and 42,213.81 is: 63,365.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,956.88 : 77,990.43 = 42,213.81 : x
  2. Step 2: Convert to fraction form
    51,956.88/77,990.43 = 42,213.81/x
  3. Step 3: Cross multiply
    51,956.88x = 77,990.43 × 42,213.81
  4. Step 4: Simplify right side
    51,956.88x = 3,292,273,193.84
  5. Step 5: Solve for x
    x = 3,292,273,193.84/51,956.88
  6. Step 6: Final answer
    x = 63,365.49

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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.