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Finding the Fourth Proportional to 199,565, 299,188.54 and 115,229.53

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Solution

The fourth proportional to 199,565, 299,188.54 and 115,229.53 is: 172,752.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,565 : 299,188.54 = 115,229.53 : x
  2. Step 2: Convert to fraction form
    199,565/299,188.54 = 115,229.53/x
  3. Step 3: Cross multiply
    199,565x = 299,188.54 × 115,229.53
  4. Step 4: Simplify right side
    199,565x = 34,475,354,845.59
  5. Step 5: Solve for x
    x = 34,475,354,845.59/199,565
  6. Step 6: Final answer
    x = 172,752.51

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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.