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Finding the Fourth Proportional to 120,214.16, 165,894.12 and 66,494.96

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Solution

The fourth proportional to 120,214.16, 165,894.12 and 66,494.96 is: 91,762.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,214.16 : 165,894.12 = 66,494.96 : x
  2. Step 2: Convert to fraction form
    120,214.16/165,894.12 = 66,494.96/x
  3. Step 3: Cross multiply
    120,214.16x = 165,894.12 × 66,494.96
  4. Step 4: Simplify right side
    120,214.16x = 11,031,122,873.64
  5. Step 5: Solve for x
    x = 11,031,122,873.64/120,214.16
  6. Step 6: Final answer
    x = 91,762.26

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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.