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Finding the Fourth Proportional to 39,878.80, 59,816.04 and 12,176.80

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Solution

The fourth proportional to 39,878.80, 59,816.04 and 12,176.80 is: 18,264.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,878.80 : 59,816.04 = 12,176.80 : x
  2. Step 2: Convert to fraction form
    39,878.80/59,816.04 = 12,176.80/x
  3. Step 3: Cross multiply
    39,878.80x = 59,816.04 × 12,176.80
  4. Step 4: Simplify right side
    39,878.80x = 728,367,955.87
  5. Step 5: Solve for x
    x = 728,367,955.87/39,878.80
  6. Step 6: Final answer
    x = 18,264.54

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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.