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Finding the Fourth Proportional to 110,014.30, 165,215.85 and 85,114.90

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Solution

The fourth proportional to 110,014.30, 165,215.85 and 85,114.90 is: 127,822.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,014.30 : 165,215.85 = 85,114.90 : x
  2. Step 2: Convert to fraction form
    110,014.30/165,215.85 = 85,114.90/x
  3. Step 3: Cross multiply
    110,014.30x = 165,215.85 × 85,114.90
  4. Step 4: Simplify right side
    110,014.30x = 14,062,330,551.17
  5. Step 5: Solve for x
    x = 14,062,330,551.17/110,014.30
  6. Step 6: Final answer
    x = 127,822.75

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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.