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Finding the Fourth Proportional to 261,903, 361,426.14 and 142,671

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Solution

The fourth proportional to 261,903, 361,426.14 and 142,671 is: 196,885.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,903 : 361,426.14 = 142,671 : x
  2. Step 2: Convert to fraction form
    261,903/361,426.14 = 142,671/x
  3. Step 3: Cross multiply
    261,903x = 361,426.14 × 142,671
  4. Step 4: Simplify right side
    261,903x = 51,565,028,819.94
  5. Step 5: Solve for x
    x = 51,565,028,819.94/261,903
  6. Step 6: Final answer
    x = 196,885.98

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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.