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Finding the Fourth Proportional to 54,521.60, 81,782.40 and 35,859.20

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Solution

The fourth proportional to 54,521.60, 81,782.40 and 35,859.20 is: 53,788.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,521.60 : 81,782.40 = 35,859.20 : x
  2. Step 2: Convert to fraction form
    54,521.60/81,782.40 = 35,859.20/x
  3. Step 3: Cross multiply
    54,521.60x = 81,782.40 × 35,859.20
  4. Step 4: Simplify right side
    54,521.60x = 2,932,651,438.08
  5. Step 5: Solve for x
    x = 2,932,651,438.08/54,521.60
  6. Step 6: Final answer
    x = 53,788.80

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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.