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Finding the Fourth Proportional to 110,662.40, 165,734.40 and 75,411.20

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Solution

The fourth proportional to 110,662.40, 165,734.40 and 75,411.20 is: 112,940.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,662.40 : 165,734.40 = 75,411.20 : x
  2. Step 2: Convert to fraction form
    110,662.40/165,734.40 = 75,411.20/x
  3. Step 3: Cross multiply
    110,662.40x = 165,734.40 × 75,411.20
  4. Step 4: Simplify right side
    110,662.40x = 12,498,229,985.28
  5. Step 5: Solve for x
    x = 12,498,229,985.28/110,662.40
  6. Step 6: Final answer
    x = 112,940.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.