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Finding the Fourth Proportional to 243,724.20, 365,802.30 and 143,759.40

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Solution

The fourth proportional to 243,724.20, 365,802.30 and 143,759.40 is: 215,766.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,724.20 : 365,802.30 = 143,759.40 : x
  2. Step 2: Convert to fraction form
    243,724.20/365,802.30 = 143,759.40/x
  3. Step 3: Cross multiply
    243,724.20x = 365,802.30 × 143,759.40
  4. Step 4: Simplify right side
    243,724.20x = 52,587,519,166.62
  5. Step 5: Solve for x
    x = 52,587,519,166.62/243,724.20
  6. Step 6: Final answer
    x = 215,766.51

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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.