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Finding the Fourth Proportional to 120,142.80, 165,790.34 and 66,424.68

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Solution

The fourth proportional to 120,142.80, 165,790.34 and 66,424.68 is: 91,662.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,142.80 : 165,790.34 = 66,424.68 : x
  2. Step 2: Convert to fraction form
    120,142.80/165,790.34 = 66,424.68/x
  3. Step 3: Cross multiply
    120,142.80x = 165,790.34 × 66,424.68
  4. Step 4: Simplify right side
    120,142.80x = 11,012,570,281.59
  5. Step 5: Solve for x
    x = 11,012,570,281.59/120,142.80
  6. Step 6: Final answer
    x = 91,662.34

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1.5x scale

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.