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Finding the Fourth Proportional to 39,942, 59,914.08 and 12,240

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Solution

The fourth proportional to 39,942, 59,914.08 and 12,240 is: 18,360.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,942 : 59,914.08 = 12,240 : x
  2. Step 2: Convert to fraction form
    39,942/59,914.08 = 12,240/x
  3. Step 3: Cross multiply
    39,942x = 59,914.08 × 12,240
  4. Step 4: Simplify right side
    39,942x = 733,348,339.20
  5. Step 5: Solve for x
    x = 733,348,339.20/39,942
  6. Step 6: Final answer
    x = 18,360.33

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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.