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Finding the Fourth Proportional to 52,490.40, 78,736.20 and 13,047.60

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Solution

The fourth proportional to 52,490.40, 78,736.20 and 13,047.60 is: 19,571.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,490.40 : 78,736.20 = 13,047.60 : x
  2. Step 2: Convert to fraction form
    52,490.40/78,736.20 = 13,047.60/x
  3. Step 3: Cross multiply
    52,490.40x = 78,736.20 × 13,047.60
  4. Step 4: Simplify right side
    52,490.40x = 1,027,318,443.12
  5. Step 5: Solve for x
    x = 1,027,318,443.12/52,490.40
  6. Step 6: Final answer
    x = 19,571.55

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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.