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Finding the Fourth Proportional to 205,888.74, 284,102.46 and 115,249.74

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Solution

The fourth proportional to 205,888.74, 284,102.46 and 115,249.74 is: 159,031.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,888.74 : 284,102.46 = 115,249.74 : x
  2. Step 2: Convert to fraction form
    205,888.74/284,102.46 = 115,249.74/x
  3. Step 3: Cross multiply
    205,888.74x = 284,102.46 × 115,249.74
  4. Step 4: Simplify right side
    205,888.74x = 32,742,734,648.36
  5. Step 5: Solve for x
    x = 32,742,734,648.36/205,888.74
  6. Step 6: Final answer
    x = 159,031.21

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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.