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Finding the Fourth Proportional to 52,160.48, 78,242.88 and 20,996

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Solution

The fourth proportional to 52,160.48, 78,242.88 and 20,996 is: 31,494.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,160.48 : 78,242.88 = 20,996 : x
  2. Step 2: Convert to fraction form
    52,160.48/78,242.88 = 20,996/x
  3. Step 3: Cross multiply
    52,160.48x = 78,242.88 × 20,996
  4. Step 4: Simplify right side
    52,160.48x = 1,642,787,508.48
  5. Step 5: Solve for x
    x = 1,642,787,508.48/52,160.48
  6. Step 6: Final answer
    x = 31,494.87

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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.