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Finding the Fourth Proportional to 120,095.13, 165,621.11 and 72,265.44

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Solution

The fourth proportional to 120,095.13, 165,621.11 and 72,265.44 is: 99,660.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,095.13 : 165,621.11 = 72,265.44 : x
  2. Step 2: Convert to fraction form
    120,095.13/165,621.11 = 72,265.44/x
  3. Step 3: Cross multiply
    120,095.13x = 165,621.11 × 72,265.44
  4. Step 4: Simplify right side
    120,095.13x = 11,968,682,026.11
  5. Step 5: Solve for x
    x = 11,968,682,026.11/120,095.13
  6. Step 6: Final answer
    x = 99,660.01

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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.