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Finding the Fourth Proportional to 52,410.40, 78,648 and 21,245.92

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Solution

The fourth proportional to 52,410.40, 78,648 and 21,245.92 is: 31,882.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,410.40 : 78,648 = 21,245.92 : x
  2. Step 2: Convert to fraction form
    52,410.40/78,648 = 21,245.92/x
  3. Step 3: Cross multiply
    52,410.40x = 78,648 × 21,245.92
  4. Step 4: Simplify right side
    52,410.40x = 1,670,949,116.16
  5. Step 5: Solve for x
    x = 1,670,949,116.16/52,410.40
  6. Step 6: Final answer
    x = 31,882.01

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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.