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Finding the Fourth Proportional to 137,203.20, 189,349.20 and 76,780.80

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Solution

The fourth proportional to 137,203.20, 189,349.20 and 76,780.80 is: 105,962.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,203.20 : 189,349.20 = 76,780.80 : x
  2. Step 2: Convert to fraction form
    137,203.20/189,349.20 = 76,780.80/x
  3. Step 3: Cross multiply
    137,203.20x = 189,349.20 × 76,780.80
  4. Step 4: Simplify right side
    137,203.20x = 14,538,383,055.36
  5. Step 5: Solve for x
    x = 14,538,383,055.36/137,203.20
  6. Step 6: Final answer
    x = 105,962.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.