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Finding the Fourth Proportional to 202,654.88, 279,518.69 and 142,239

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Solution

The fourth proportional to 202,654.88, 279,518.69 and 142,239 is: 196,188.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,654.88 : 279,518.69 = 142,239 : x
  2. Step 2: Convert to fraction form
    202,654.88/279,518.69 = 142,239/x
  3. Step 3: Cross multiply
    202,654.88x = 279,518.69 × 142,239
  4. Step 4: Simplify right side
    202,654.88x = 39,758,458,235.72
  5. Step 5: Solve for x
    x = 39,758,458,235.72/202,654.88
  6. Step 6: Final answer
    x = 196,188.02

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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.