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Finding the Fourth Proportional to 120,301.92, 165,903.12 and 89,742.51

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Solution

The fourth proportional to 120,301.92, 165,903.12 and 89,742.51 is: 123,759.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,301.92 : 165,903.12 = 89,742.51 : x
  2. Step 2: Convert to fraction form
    120,301.92/165,903.12 = 89,742.51/x
  3. Step 3: Cross multiply
    120,301.92x = 165,903.12 × 89,742.51
  4. Step 4: Simplify right side
    120,301.92x = 14,888,562,405.63
  5. Step 5: Solve for x
    x = 14,888,562,405.63/120,301.92
  6. Step 6: Final answer
    x = 123,759.97

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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.