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Finding the Fourth Proportional to 137,681.69, 206,402.25 and 53,383.78

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Solution

The fourth proportional to 137,681.69, 206,402.25 and 53,383.78 is: 80,029.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,681.69 : 206,402.25 = 53,383.78 : x
  2. Step 2: Convert to fraction form
    137,681.69/206,402.25 = 53,383.78/x
  3. Step 3: Cross multiply
    137,681.69x = 206,402.25 × 53,383.78
  4. Step 4: Simplify right side
    137,681.69x = 11,018,531,273.49
  5. Step 5: Solve for x
    x = 11,018,531,273.49/137,681.69
  6. Step 6: Final answer
    x = 80,029.02

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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.