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Finding the Fourth Proportional to 120,249, 165,943.08 and 69,243.12

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Solution

The fourth proportional to 120,249, 165,943.08 and 69,243.12 is: 95,555.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,249 : 165,943.08 = 69,243.12 : x
  2. Step 2: Convert to fraction form
    120,249/165,943.08 = 69,243.12/x
  3. Step 3: Cross multiply
    120,249x = 165,943.08 × 69,243.12
  4. Step 4: Simplify right side
    120,249x = 11,490,416,601.61
  5. Step 5: Solve for x
    x = 11,490,416,601.61/120,249
  6. Step 6: Final answer
    x = 95,555.19

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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.