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Finding the Fourth Proportional to 52,120.60, 78,219.30 and 20,978.20

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Solution

The fourth proportional to 52,120.60, 78,219.30 and 20,978.20 is: 31,482.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,120.60 : 78,219.30 = 20,978.20 : x
  2. Step 2: Convert to fraction form
    52,120.60/78,219.30 = 20,978.20/x
  3. Step 3: Cross multiply
    52,120.60x = 78,219.30 × 20,978.20
  4. Step 4: Simplify right side
    52,120.60x = 1,640,900,119.26
  5. Step 5: Solve for x
    x = 1,640,900,119.26/52,120.60
  6. Step 6: Final answer
    x = 31,482.76

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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.