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Finding the Fourth Proportional to 120,145.86, 165,798.72 and 66,433.14

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Solution

The fourth proportional to 120,145.86, 165,798.72 and 66,433.14 is: 91,676.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,145.86 : 165,798.72 = 66,433.14 : x
  2. Step 2: Convert to fraction form
    120,145.86/165,798.72 = 66,433.14/x
  3. Step 3: Cross multiply
    120,145.86x = 165,798.72 × 66,433.14
  4. Step 4: Simplify right side
    120,145.86x = 11,014,529,577.58
  5. Step 5: Solve for x
    x = 11,014,529,577.58/120,145.86
  6. Step 6: Final answer
    x = 91,676.31

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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.