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Finding the Fourth Proportional to 120,090.78, 165,723.66 and 66,376.74

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Solution

The fourth proportional to 120,090.78, 165,723.66 and 66,376.74 is: 91,599.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,090.78 : 165,723.66 = 66,376.74 : x
  2. Step 2: Convert to fraction form
    120,090.78/165,723.66 = 66,376.74/x
  3. Step 3: Cross multiply
    120,090.78x = 165,723.66 × 66,376.74
  4. Step 4: Simplify right side
    120,090.78x = 11,000,196,291.67
  5. Step 5: Solve for x
    x = 11,000,196,291.67/120,090.78
  6. Step 6: Final answer
    x = 91,599.01

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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.