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Finding the Fourth Proportional to 243,217.56, 335,696.22 and 142,647.96

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Solution

The fourth proportional to 243,217.56, 335,696.22 and 142,647.96 is: 196,887.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,217.56 : 335,696.22 = 142,647.96 : x
  2. Step 2: Convert to fraction form
    243,217.56/335,696.22 = 142,647.96/x
  3. Step 3: Cross multiply
    243,217.56x = 335,696.22 × 142,647.96
  4. Step 4: Simplify right side
    243,217.56x = 47,886,380,962.71
  5. Step 5: Solve for x
    x = 47,886,380,962.71/243,217.56
  6. Step 6: Final answer
    x = 196,887.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.