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Finding the Fourth Proportional to 110,228.20, 165,050.70 and 86,705.80

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Solution

The fourth proportional to 110,228.20, 165,050.70 and 86,705.80 is: 129,829.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,228.20 : 165,050.70 = 86,705.80 : x
  2. Step 2: Convert to fraction form
    110,228.20/165,050.70 = 86,705.80/x
  3. Step 3: Cross multiply
    110,228.20x = 165,050.70 × 86,705.80
  4. Step 4: Simplify right side
    110,228.20x = 14,310,852,984.06
  5. Step 5: Solve for x
    x = 14,310,852,984.06/110,228.20
  6. Step 6: Final answer
    x = 129,829.33

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1.5x scale

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.