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Finding the Fourth Proportional to 52,365.60, 78,546.24 and 21,200.40

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Solution

The fourth proportional to 52,365.60, 78,546.24 and 21,200.40 is: 31,799.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,365.60 : 78,546.24 = 21,200.40 : x
  2. Step 2: Convert to fraction form
    52,365.60/78,546.24 = 21,200.40/x
  3. Step 3: Cross multiply
    52,365.60x = 78,546.24 × 21,200.40
  4. Step 4: Simplify right side
    52,365.60x = 1,665,211,706.50
  5. Step 5: Solve for x
    x = 1,665,211,706.50/52,365.60
  6. Step 6: Final answer
    x = 31,799.73

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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.