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Finding the Fourth Proportional to 118,523.80, 177,807.84 and 39,638.44

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Solution

The fourth proportional to 118,523.80, 177,807.84 and 39,638.44 is: 59,465.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,523.80 : 177,807.84 = 39,638.44 : x
  2. Step 2: Convert to fraction form
    118,523.80/177,807.84 = 39,638.44/x
  3. Step 3: Cross multiply
    118,523.80x = 177,807.84 × 39,638.44
  4. Step 4: Simplify right side
    118,523.80x = 7,048,025,397.37
  5. Step 5: Solve for x
    x = 7,048,025,397.37/118,523.80
  6. Step 6: Final answer
    x = 59,465.06

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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.