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Finding the Fourth Proportional to 120,212.16, 165,891.36 and 66,492.96

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Solution

The fourth proportional to 120,212.16, 165,891.36 and 66,492.96 is: 91,759.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,212.16 : 165,891.36 = 66,492.96 : x
  2. Step 2: Convert to fraction form
    120,212.16/165,891.36 = 66,492.96/x
  3. Step 3: Cross multiply
    120,212.16x = 165,891.36 × 66,492.96
  4. Step 4: Simplify right side
    120,212.16x = 11,030,607,564.83
  5. Step 5: Solve for x
    x = 11,030,607,564.83/120,212.16
  6. Step 6: Final answer
    x = 91,759.50

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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.