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Finding the Fourth Proportional to 120,032, 165,644.16 and 67,040

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Solution

The fourth proportional to 120,032, 165,644.16 and 67,040 is: 92,515.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,032 : 165,644.16 = 67,040 : x
  2. Step 2: Convert to fraction form
    120,032/165,644.16 = 67,040/x
  3. Step 3: Cross multiply
    120,032x = 165,644.16 × 67,040
  4. Step 4: Simplify right side
    120,032x = 11,104,784,486.40
  5. Step 5: Solve for x
    x = 11,104,784,486.40/120,032
  6. Step 6: Final answer
    x = 92,515.20

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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.