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Finding the Fourth Proportional to 110,811.70, 166,217.55 and 102,258.10

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Solution

The fourth proportional to 110,811.70, 166,217.55 and 102,258.10 is: 153,387.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,811.70 : 166,217.55 = 102,258.10 : x
  2. Step 2: Convert to fraction form
    110,811.70/166,217.55 = 102,258.10/x
  3. Step 3: Cross multiply
    110,811.70x = 166,217.55 × 102,258.10
  4. Step 4: Simplify right side
    110,811.70x = 16,997,090,849.66
  5. Step 5: Solve for x
    x = 16,997,090,849.66/110,811.70
  6. Step 6: Final answer
    x = 153,387.15

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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.