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Finding the Fourth Proportional to 120,118.82, 165,776.32 and 69,133.47

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Solution

The fourth proportional to 120,118.82, 165,776.32 and 69,133.47 is: 95,411.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,118.82 : 165,776.32 = 69,133.47 : x
  2. Step 2: Convert to fraction form
    120,118.82/165,776.32 = 69,133.47/x
  3. Step 3: Cross multiply
    120,118.82x = 165,776.32 × 69,133.47
  4. Step 4: Simplify right side
    120,118.82x = 11,460,691,710.19
  5. Step 5: Solve for x
    x = 11,460,691,710.19/120,118.82
  6. Step 6: Final answer
    x = 95,411.30

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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.