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Finding the Fourth Proportional to 199,709.10, 299,633.62 and 124,741.47

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Solution

The fourth proportional to 199,709.10, 299,633.62 and 124,741.47 is: 187,155.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,709.10 : 299,633.62 = 124,741.47 : x
  2. Step 2: Convert to fraction form
    199,709.10/299,633.62 = 124,741.47/x
  3. Step 3: Cross multiply
    199,709.10x = 299,633.62 × 124,741.47
  4. Step 4: Simplify right side
    199,709.10x = 37,376,738,220.22
  5. Step 5: Solve for x
    x = 37,376,738,220.22/199,709.10
  6. Step 6: Final answer
    x = 187,155.91

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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.