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Finding the Fourth Proportional to 53,851.20, 80,863.20 and 36,398.40

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Solution

The fourth proportional to 53,851.20, 80,863.20 and 36,398.40 is: 54,656.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,851.20 : 80,863.20 = 36,398.40 : x
  2. Step 2: Convert to fraction form
    53,851.20/80,863.20 = 36,398.40/x
  3. Step 3: Cross multiply
    53,851.20x = 80,863.20 × 36,398.40
  4. Step 4: Simplify right side
    53,851.20x = 2,943,291,098.88
  5. Step 5: Solve for x
    x = 2,943,291,098.88/53,851.20
  6. Step 6: Final answer
    x = 54,656.00

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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.