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Finding the Fourth Proportional to 199,502.34, 299,363.67 and 81,256.92

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Solution

The fourth proportional to 199,502.34, 299,363.67 and 81,256.92 is: 121,930.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,502.34 : 299,363.67 = 81,256.92 : x
  2. Step 2: Convert to fraction form
    199,502.34/299,363.67 = 81,256.92/x
  3. Step 3: Cross multiply
    199,502.34x = 299,363.67 × 81,256.92
  4. Step 4: Simplify right side
    199,502.34x = 24,325,369,784.10
  5. Step 5: Solve for x
    x = 24,325,369,784.10/199,502.34
  6. Step 6: Final answer
    x = 121,930.25

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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.