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Finding the Fourth Proportional to 52,125.70, 78,158.93 and 20,518.64

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Solution

The fourth proportional to 52,125.70, 78,158.93 and 20,518.64 is: 30,766.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,125.70 : 78,158.93 = 20,518.64 : x
  2. Step 2: Convert to fraction form
    52,125.70/78,158.93 = 20,518.64/x
  3. Step 3: Cross multiply
    52,125.70x = 78,158.93 × 20,518.64
  4. Step 4: Simplify right side
    52,125.70x = 1,603,714,932.18
  5. Step 5: Solve for x
    x = 1,603,714,932.18/52,125.70
  6. Step 6: Final answer
    x = 30,766.30

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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.