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Finding the Fourth Proportional to 199,987.28, 299,980.92 and 138,051.44

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Solution

The fourth proportional to 199,987.28, 299,980.92 and 138,051.44 is: 207,077.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,987.28 : 299,980.92 = 138,051.44 : x
  2. Step 2: Convert to fraction form
    199,987.28/299,980.92 = 138,051.44/x
  3. Step 3: Cross multiply
    199,987.28x = 299,980.92 × 138,051.44
  4. Step 4: Simplify right side
    199,987.28x = 41,412,797,978.52
  5. Step 5: Solve for x
    x = 41,412,797,978.52/199,987.28
  6. Step 6: Final answer
    x = 207,077.16

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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.