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Finding the Fourth Proportional to 73,781.40, 110,729.70 and 34,343.40

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Solution

The fourth proportional to 73,781.40, 110,729.70 and 34,343.40 is: 51,541.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,781.40 : 110,729.70 = 34,343.40 : x
  2. Step 2: Convert to fraction form
    73,781.40/110,729.70 = 34,343.40/x
  3. Step 3: Cross multiply
    73,781.40x = 110,729.70 × 34,343.40
  4. Step 4: Simplify right side
    73,781.40x = 3,802,834,378.98
  5. Step 5: Solve for x
    x = 3,802,834,378.98/73,781.40
  6. Step 6: Final answer
    x = 51,541.91

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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.