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Finding the Fourth Proportional to 53,714.64, 80,494.16 and 30,291.28

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Solution

The fourth proportional to 53,714.64, 80,494.16 and 30,291.28 is: 45,393.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,714.64 : 80,494.16 = 30,291.28 : x
  2. Step 2: Convert to fraction form
    53,714.64/80,494.16 = 30,291.28/x
  3. Step 3: Cross multiply
    53,714.64x = 80,494.16 × 30,291.28
  4. Step 4: Simplify right side
    53,714.64x = 2,438,271,138.92
  5. Step 5: Solve for x
    x = 2,438,271,138.92/53,714.64
  6. Step 6: Final answer
    x = 45,393.05

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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.