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Finding the Fourth Proportional to 120,057.92, 165,675.48 and 66,341.84

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Solution

The fourth proportional to 120,057.92, 165,675.48 and 66,341.84 is: 91,549.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,057.92 : 165,675.48 = 66,341.84 : x
  2. Step 2: Convert to fraction form
    120,057.92/165,675.48 = 66,341.84/x
  3. Step 3: Cross multiply
    120,057.92x = 165,675.48 × 66,341.84
  4. Step 4: Simplify right side
    120,057.92x = 10,991,216,186.08
  5. Step 5: Solve for x
    x = 10,991,216,186.08/120,057.92
  6. Step 6: Final answer
    x = 91,549.28

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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.