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Finding the Fourth Proportional to 102,344.64, 140,826.24 and 78,462.24

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Solution

The fourth proportional to 102,344.64, 140,826.24 and 78,462.24 is: 107,964.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,344.64 : 140,826.24 = 78,462.24 : x
  2. Step 2: Convert to fraction form
    102,344.64/140,826.24 = 78,462.24/x
  3. Step 3: Cross multiply
    102,344.64x = 140,826.24 × 78,462.24
  4. Step 4: Simplify right side
    102,344.64x = 11,049,542,241.18
  5. Step 5: Solve for x
    x = 11,049,542,241.18/102,344.64
  6. Step 6: Final answer
    x = 107,964.05

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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.