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Finding the Fourth Proportional to 110,728.20, 165,746.70 and 87,227.40

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Solution

The fourth proportional to 110,728.20, 165,746.70 and 87,227.40 is: 130,568.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,728.20 : 165,746.70 = 87,227.40 : x
  2. Step 2: Convert to fraction form
    110,728.20/165,746.70 = 87,227.40/x
  3. Step 3: Cross multiply
    110,728.20x = 165,746.70 × 87,227.40
  4. Step 4: Simplify right side
    110,728.20x = 14,457,653,699.58
  5. Step 5: Solve for x
    x = 14,457,653,699.58/110,728.20
  6. Step 6: Final answer
    x = 130,568.85

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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.