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Finding the Fourth Proportional to 143,346.64, 198,020.64 and 114,855.52

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Solution

The fourth proportional to 143,346.64, 198,020.64 and 114,855.52 is: 158,662.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,346.64 : 198,020.64 = 114,855.52 : x
  2. Step 2: Convert to fraction form
    143,346.64/198,020.64 = 114,855.52/x
  3. Step 3: Cross multiply
    143,346.64x = 198,020.64 × 114,855.52
  4. Step 4: Simplify right side
    143,346.64x = 22,743,763,577.93
  5. Step 5: Solve for x
    x = 22,743,763,577.93/143,346.64
  6. Step 6: Final answer
    x = 158,662.69

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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.