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Finding the Fourth Proportional to 137,984.80, 206,977.20 and 39,488.80

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Solution

The fourth proportional to 137,984.80, 206,977.20 and 39,488.80 is: 59,233.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,984.80 : 206,977.20 = 39,488.80 : x
  2. Step 2: Convert to fraction form
    137,984.80/206,977.20 = 39,488.80/x
  3. Step 3: Cross multiply
    137,984.80x = 206,977.20 × 39,488.80
  4. Step 4: Simplify right side
    137,984.80x = 8,173,281,255.36
  5. Step 5: Solve for x
    x = 8,173,281,255.36/137,984.80
  6. Step 6: Final answer
    x = 59,233.20

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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.