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Finding the Fourth Proportional to 102,714.88, 141,744.84 and 57,393.52

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Solution

The fourth proportional to 102,714.88, 141,744.84 and 57,393.52 is: 79,202.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,714.88 : 141,744.84 = 57,393.52 : x
  2. Step 2: Convert to fraction form
    102,714.88/141,744.84 = 57,393.52/x
  3. Step 3: Cross multiply
    102,714.88x = 141,744.84 × 57,393.52
  4. Step 4: Simplify right side
    102,714.88x = 8,135,235,309.44
  5. Step 5: Solve for x
    x = 8,135,235,309.44/102,714.88
  6. Step 6: Final answer
    x = 79,202.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.