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Finding the Fourth Proportional to 120,114.69, 165,764.66 and 69,135.18

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Solution

The fourth proportional to 120,114.69, 165,764.66 and 69,135.18 is: 95,410.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,114.69 : 165,764.66 = 69,135.18 : x
  2. Step 2: Convert to fraction form
    120,114.69/165,764.66 = 69,135.18/x
  3. Step 3: Cross multiply
    120,114.69x = 165,764.66 × 69,135.18
  4. Step 4: Simplify right side
    120,114.69x = 11,460,169,261.06
  5. Step 5: Solve for x
    x = 11,460,169,261.06/120,114.69
  6. Step 6: Final answer
    x = 95,410.22

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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.