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Finding the Fourth Proportional to 52,513.90, 78,775.74 and 20,916.34

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Solution

The fourth proportional to 52,513.90, 78,775.74 and 20,916.34 is: 31,376.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,513.90 : 78,775.74 = 20,916.34 : x
  2. Step 2: Convert to fraction form
    52,513.90/78,775.74 = 20,916.34/x
  3. Step 3: Cross multiply
    52,513.90x = 78,775.74 × 20,916.34
  4. Step 4: Simplify right side
    52,513.90x = 1,647,700,161.59
  5. Step 5: Solve for x
    x = 1,647,700,161.59/52,513.90
  6. Step 6: Final answer
    x = 31,376.46

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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.