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Finding the Fourth Proportional to 52,202.70, 78,285.42 and 18,914.13

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Solution

The fourth proportional to 52,202.70, 78,285.42 and 18,914.13 is: 28,364.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,202.70 : 78,285.42 = 18,914.13 : x
  2. Step 2: Convert to fraction form
    52,202.70/78,285.42 = 18,914.13/x
  3. Step 3: Cross multiply
    52,202.70x = 78,285.42 × 18,914.13
  4. Step 4: Simplify right side
    52,202.70x = 1,480,700,610.98
  5. Step 5: Solve for x
    x = 1,480,700,610.98/52,202.70
  6. Step 6: Final answer
    x = 28,364.44

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1.5x scale

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.