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Finding the Fourth Proportional to 137,980.28, 206,783.22 and 63,007.46

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Solution

The fourth proportional to 137,980.28, 206,783.22 and 63,007.46 is: 94,425.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,980.28 : 206,783.22 = 63,007.46 : x
  2. Step 2: Convert to fraction form
    137,980.28/206,783.22 = 63,007.46/x
  3. Step 3: Cross multiply
    137,980.28x = 206,783.22 × 63,007.46
  4. Step 4: Simplify right side
    137,980.28x = 13,028,885,462.82
  5. Step 5: Solve for x
    x = 13,028,885,462.82/137,980.28
  6. Step 6: Final answer
    x = 94,425.71

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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.