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Finding the Fourth Proportional to 57,869.90, 86,811 and 18,417.79

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Solution

The fourth proportional to 57,869.90, 86,811 and 18,417.79 is: 27,628.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,869.90 : 86,811 = 18,417.79 : x
  2. Step 2: Convert to fraction form
    57,869.90/86,811 = 18,417.79/x
  3. Step 3: Cross multiply
    57,869.90x = 86,811 × 18,417.79
  4. Step 4: Simplify right side
    57,869.90x = 1,598,866,767.69
  5. Step 5: Solve for x
    x = 1,598,866,767.69/57,869.90
  6. Step 6: Final answer
    x = 27,628.64

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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.