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Finding the Fourth Proportional to 52,338.50, 78,533.72 and 20,747.90

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Solution

The fourth proportional to 52,338.50, 78,533.72 and 20,747.90 is: 31,132.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,338.50 : 78,533.72 = 20,747.90 : x
  2. Step 2: Convert to fraction form
    52,338.50/78,533.72 = 20,747.90/x
  3. Step 3: Cross multiply
    52,338.50x = 78,533.72 × 20,747.90
  4. Step 4: Simplify right side
    52,338.50x = 1,629,409,428.39
  5. Step 5: Solve for x
    x = 1,629,409,428.39/52,338.50
  6. Step 6: Final answer
    x = 31,132.14

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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.