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Finding the Fourth Proportional to 256,752.42, 385,163.68 and 106,957.67

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Solution

The fourth proportional to 256,752.42, 385,163.68 and 106,957.67 is: 160,451.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,752.42 : 385,163.68 = 106,957.67 : x
  2. Step 2: Convert to fraction form
    256,752.42/385,163.68 = 106,957.67/x
  3. Step 3: Cross multiply
    256,752.42x = 385,163.68 × 106,957.67
  4. Step 4: Simplify right side
    256,752.42x = 41,196,211,730.62
  5. Step 5: Solve for x
    x = 41,196,211,730.62/256,752.42
  6. Step 6: Final answer
    x = 160,451.11

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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.