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Finding the Fourth Proportional to 57,869.80, 86,808.54 and 20,929

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Solution

The fourth proportional to 57,869.80, 86,808.54 and 20,929 is: 31,394.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,869.80 : 86,808.54 = 20,929 : x
  2. Step 2: Convert to fraction form
    57,869.80/86,808.54 = 20,929/x
  3. Step 3: Cross multiply
    57,869.80x = 86,808.54 × 20,929
  4. Step 4: Simplify right side
    57,869.80x = 1,816,815,933.66
  5. Step 5: Solve for x
    x = 1,816,815,933.66/57,869.80
  6. Step 6: Final answer
    x = 31,394.89

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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.