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Finding the Fourth Proportional to 199,801.74, 299,714.16 and 75,143.82

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Solution

The fourth proportional to 199,801.74, 299,714.16 and 75,143.82 is: 112,720.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,801.74 : 299,714.16 = 75,143.82 : x
  2. Step 2: Convert to fraction form
    199,801.74/299,714.16 = 75,143.82/x
  3. Step 3: Cross multiply
    199,801.74x = 299,714.16 × 75,143.82
  4. Step 4: Simplify right side
    199,801.74x = 22,521,666,890.49
  5. Step 5: Solve for x
    x = 22,521,666,890.49/199,801.74
  6. Step 6: Final answer
    x = 112,720.07

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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.