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Finding the Fourth Proportional to 120,383, 180,575.41 and 31,636.36

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Solution

The fourth proportional to 120,383, 180,575.41 and 31,636.36 is: 47,454.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,383 : 180,575.41 = 31,636.36 : x
  2. Step 2: Convert to fraction form
    120,383/180,575.41 = 31,636.36/x
  3. Step 3: Cross multiply
    120,383x = 180,575.41 × 31,636.36
  4. Step 4: Simplify right side
    120,383x = 5,712,748,677.91
  5. Step 5: Solve for x
    x = 5,712,748,677.91/120,383
  6. Step 6: Final answer
    x = 47,454.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.