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Finding the Fourth Proportional to 57,209.76, 85,810.80 and 19,770.33

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Solution

The fourth proportional to 57,209.76, 85,810.80 and 19,770.33 is: 29,654.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,209.76 : 85,810.80 = 19,770.33 : x
  2. Step 2: Convert to fraction form
    57,209.76/85,810.80 = 19,770.33/x
  3. Step 3: Cross multiply
    57,209.76x = 85,810.80 × 19,770.33
  4. Step 4: Simplify right side
    57,209.76x = 1,696,507,833.56
  5. Step 5: Solve for x
    x = 1,696,507,833.56/57,209.76
  6. Step 6: Final answer
    x = 29,654.17

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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.