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Finding the Fourth Proportional to 51,689.59, 77,564.86 and 21,709.09

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Solution

The fourth proportional to 51,689.59, 77,564.86 and 21,709.09 is: 32,576.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,689.59 : 77,564.86 = 21,709.09 : x
  2. Step 2: Convert to fraction form
    51,689.59/77,564.86 = 21,709.09/x
  3. Step 3: Cross multiply
    51,689.59x = 77,564.86 × 21,709.09
  4. Step 4: Simplify right side
    51,689.59x = 1,683,862,472.30
  5. Step 5: Solve for x
    x = 1,683,862,472.30/51,689.59
  6. Step 6: Final answer
    x = 32,576.43

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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.