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Finding the Fourth Proportional to 120,100.93, 165,737.49 and 66,384.77

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Solution

The fourth proportional to 120,100.93, 165,737.49 and 66,384.77 is: 91,609.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,100.93 : 165,737.49 = 66,384.77 : x
  2. Step 2: Convert to fraction form
    120,100.93/165,737.49 = 66,384.77/x
  3. Step 3: Cross multiply
    120,100.93x = 165,737.49 × 66,384.77
  4. Step 4: Simplify right side
    120,100.93x = 11,002,444,449.81
  5. Step 5: Solve for x
    x = 11,002,444,449.81/120,100.93
  6. Step 6: Final answer
    x = 91,609.99

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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.