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Finding the Fourth Proportional to 91,493.36, 137,220.80 and 25,814

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Solution

The fourth proportional to 91,493.36, 137,220.80 and 25,814 is: 38,715.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,493.36 : 137,220.80 = 25,814 : x
  2. Step 2: Convert to fraction form
    91,493.36/137,220.80 = 25,814/x
  3. Step 3: Cross multiply
    91,493.36x = 137,220.80 × 25,814
  4. Step 4: Simplify right side
    91,493.36x = 3,542,217,731.20
  5. Step 5: Solve for x
    x = 3,542,217,731.20/91,493.36
  6. Step 6: Final answer
    x = 38,715.57

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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.