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Finding the Fourth Proportional to 199,572.48, 299,199.75 and 115,236.90

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Solution

The fourth proportional to 199,572.48, 299,199.75 and 115,236.90 is: 172,763.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,572.48 : 299,199.75 = 115,236.90 : x
  2. Step 2: Convert to fraction form
    199,572.48/299,199.75 = 115,236.90/x
  3. Step 3: Cross multiply
    199,572.48x = 299,199.75 × 115,236.90
  4. Step 4: Simplify right side
    199,572.48x = 34,478,851,670.78
  5. Step 5: Solve for x
    x = 34,478,851,670.78/199,572.48
  6. Step 6: Final answer
    x = 172,763.56

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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.