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Finding the Fourth Proportional to 199,693.80, 299,431.35 and 81,231.30

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Solution

The fourth proportional to 199,693.80, 299,431.35 and 81,231.30 is: 121,802.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,693.80 : 299,431.35 = 81,231.30 : x
  2. Step 2: Convert to fraction form
    199,693.80/299,431.35 = 81,231.30/x
  3. Step 3: Cross multiply
    199,693.80x = 299,431.35 × 81,231.30
  4. Step 4: Simplify right side
    199,693.80x = 24,323,197,821.26
  5. Step 5: Solve for x
    x = 24,323,197,821.26/199,693.80
  6. Step 6: Final answer
    x = 121,802.47

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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.