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Finding the Fourth Proportional to 137,161.14, 205,554.90 and 77,218.20

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Solution

The fourth proportional to 137,161.14, 205,554.90 and 77,218.20 is: 115,722.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,161.14 : 205,554.90 = 77,218.20 : x
  2. Step 2: Convert to fraction form
    137,161.14/205,554.90 = 77,218.20/x
  3. Step 3: Cross multiply
    137,161.14x = 205,554.90 × 77,218.20
  4. Step 4: Simplify right side
    137,161.14x = 15,872,579,379.18
  5. Step 5: Solve for x
    x = 15,872,579,379.18/137,161.14
  6. Step 6: Final answer
    x = 115,722.13

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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.