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Finding the Fourth Proportional to 120,138.93, 165,803.81 and 66,428.01

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Solution

The fourth proportional to 120,138.93, 165,803.81 and 66,428.01 is: 91,677.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,138.93 : 165,803.81 = 66,428.01 : x
  2. Step 2: Convert to fraction form
    120,138.93/165,803.81 = 66,428.01/x
  3. Step 3: Cross multiply
    120,138.93x = 165,803.81 × 66,428.01
  4. Step 4: Simplify right side
    120,138.93x = 11,014,016,816.58
  5. Step 5: Solve for x
    x = 11,014,016,816.58/120,138.93
  6. Step 6: Final answer
    x = 91,677.33

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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.