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Finding the Fourth Proportional to 261,904, 361,427.52 and 142,672

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Solution

The fourth proportional to 261,904, 361,427.52 and 142,672 is: 196,887.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,904 : 361,427.52 = 142,672 : x
  2. Step 2: Convert to fraction form
    261,904/361,427.52 = 142,672/x
  3. Step 3: Cross multiply
    261,904x = 361,427.52 × 142,672
  4. Step 4: Simplify right side
    261,904x = 51,565,587,133.44
  5. Step 5: Solve for x
    x = 51,565,587,133.44/261,904
  6. Step 6: Final answer
    x = 196,887.36

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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.