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Finding the Fourth Proportional to 120,217.83, 165,912.93 and 69,232.47

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Solution

The fourth proportional to 120,217.83, 165,912.93 and 69,232.47 is: 95,547.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,217.83 : 165,912.93 = 69,232.47 : x
  2. Step 2: Convert to fraction form
    120,217.83/165,912.93 = 69,232.47/x
  3. Step 3: Cross multiply
    120,217.83x = 165,912.93 × 69,232.47
  4. Step 4: Simplify right side
    120,217.83x = 11,486,561,948.84
  5. Step 5: Solve for x
    x = 11,486,561,948.84/120,217.83
  6. Step 6: Final answer
    x = 95,547.91

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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.