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Finding the Fourth Proportional to 137,321.20, 205,981.80 and 84,559.60

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Solution

The fourth proportional to 137,321.20, 205,981.80 and 84,559.60 is: 126,839.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,321.20 : 205,981.80 = 84,559.60 : x
  2. Step 2: Convert to fraction form
    137,321.20/205,981.80 = 84,559.60/x
  3. Step 3: Cross multiply
    137,321.20x = 205,981.80 × 84,559.60
  4. Step 4: Simplify right side
    137,321.20x = 17,417,738,615.28
  5. Step 5: Solve for x
    x = 17,417,738,615.28/137,321.20
  6. Step 6: Final answer
    x = 126,839.40

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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.