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Finding the Fourth Proportional to 120,185.86, 165,855.64 and 66,468.89

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Solution

The fourth proportional to 120,185.86, 165,855.64 and 66,468.89 is: 91,726.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,185.86 : 165,855.64 = 66,468.89 : x
  2. Step 2: Convert to fraction form
    120,185.86/165,855.64 = 66,468.89/x
  3. Step 3: Cross multiply
    120,185.86x = 165,855.64 × 66,468.89
  4. Step 4: Simplify right side
    120,185.86x = 11,024,240,291.04
  5. Step 5: Solve for x
    x = 11,024,240,291.04/120,185.86
  6. Step 6: Final answer
    x = 91,726.60

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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.