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Finding the Fourth Proportional to 110,654.40, 165,722.40 and 75,403.20

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Solution

The fourth proportional to 110,654.40, 165,722.40 and 75,403.20 is: 112,928.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,654.40 : 165,722.40 = 75,403.20 : x
  2. Step 2: Convert to fraction form
    110,654.40/165,722.40 = 75,403.20/x
  3. Step 3: Cross multiply
    110,654.40x = 165,722.40 × 75,403.20
  4. Step 4: Simplify right side
    110,654.40x = 12,495,999,271.68
  5. Step 5: Solve for x
    x = 12,495,999,271.68/110,654.40
  6. Step 6: Final answer
    x = 112,928.17

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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.