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Finding the Fourth Proportional to 110,655.20, 165,982.80 and 102,101.60

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Solution

The fourth proportional to 110,655.20, 165,982.80 and 102,101.60 is: 153,152.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,655.20 : 165,982.80 = 102,101.60 : x
  2. Step 2: Convert to fraction form
    110,655.20/165,982.80 = 102,101.60/x
  3. Step 3: Cross multiply
    110,655.20x = 165,982.80 × 102,101.60
  4. Step 4: Simplify right side
    110,655.20x = 16,947,109,452.48
  5. Step 5: Solve for x
    x = 16,947,109,452.48/110,655.20
  6. Step 6: Final answer
    x = 153,152.40

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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.