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Finding the Fourth Proportional to 137,681.19, 206,401.50 and 53,383.28

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Solution

The fourth proportional to 137,681.19, 206,401.50 and 53,383.28 is: 80,028.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,681.19 : 206,401.50 = 53,383.28 : x
  2. Step 2: Convert to fraction form
    137,681.19/206,401.50 = 53,383.28/x
  3. Step 3: Cross multiply
    137,681.19x = 206,401.50 × 53,383.28
  4. Step 4: Simplify right side
    137,681.19x = 11,018,388,034.91
  5. Step 5: Solve for x
    x = 11,018,388,034.91/137,681.19
  6. Step 6: Final answer
    x = 80,028.27

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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.