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Finding the Fourth Proportional to 57,917.84, 86,762.85 and 38,136.42

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Solution

The fourth proportional to 57,917.84, 86,762.85 and 38,136.42 is: 57,129.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,917.84 : 86,762.85 = 38,136.42 : x
  2. Step 2: Convert to fraction form
    57,917.84/86,762.85 = 38,136.42/x
  3. Step 3: Cross multiply
    57,917.84x = 86,762.85 × 38,136.42
  4. Step 4: Simplify right side
    57,917.84x = 3,308,824,344.99
  5. Step 5: Solve for x
    x = 3,308,824,344.99/57,917.84
  6. Step 6: Final answer
    x = 57,129.63

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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.