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Finding the Fourth Proportional to 110,902.80, 166,354.20 and 40,809.45

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Solution

The fourth proportional to 110,902.80, 166,354.20 and 40,809.45 is: 61,214.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,902.80 : 166,354.20 = 40,809.45 : x
  2. Step 2: Convert to fraction form
    110,902.80/166,354.20 = 40,809.45/x
  3. Step 3: Cross multiply
    110,902.80x = 166,354.20 × 40,809.45
  4. Step 4: Simplify right side
    110,902.80x = 6,788,823,407.19
  5. Step 5: Solve for x
    x = 6,788,823,407.19/110,902.80
  6. Step 6: Final answer
    x = 61,214.18

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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.