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Finding the Fourth Proportional to 257,069.22, 385,599.69 and 70,080.72

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Solution

The fourth proportional to 257,069.22, 385,599.69 and 70,080.72 is: 105,119.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,069.22 : 385,599.69 = 70,080.72 : x
  2. Step 2: Convert to fraction form
    257,069.22/385,599.69 = 70,080.72/x
  3. Step 3: Cross multiply
    257,069.22x = 385,599.69 × 70,080.72
  4. Step 4: Simplify right side
    257,069.22x = 27,023,102,723.78
  5. Step 5: Solve for x
    x = 27,023,102,723.78/257,069.22
  6. Step 6: Final answer
    x = 105,119.95

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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.