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Finding the Fourth Proportional to 51,892.64, 71,611.96 and 30,682.40

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Solution

The fourth proportional to 51,892.64, 71,611.96 and 30,682.40 is: 42,341.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,892.64 : 71,611.96 = 30,682.40 : x
  2. Step 2: Convert to fraction form
    51,892.64/71,611.96 = 30,682.40/x
  3. Step 3: Cross multiply
    51,892.64x = 71,611.96 × 30,682.40
  4. Step 4: Simplify right side
    51,892.64x = 2,197,226,801.50
  5. Step 5: Solve for x
    x = 2,197,226,801.50/51,892.64
  6. Step 6: Final answer
    x = 42,341.78

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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.