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Finding the Fourth Proportional to 256,595.50, 384,797.50 and 88,068

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Solution

The fourth proportional to 256,595.50, 384,797.50 and 88,068 is: 132,069.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,595.50 : 384,797.50 = 88,068 : x
  2. Step 2: Convert to fraction form
    256,595.50/384,797.50 = 88,068/x
  3. Step 3: Cross multiply
    256,595.50x = 384,797.50 × 88,068
  4. Step 4: Simplify right side
    256,595.50x = 33,888,346,230
  5. Step 5: Solve for x
    x = 33,888,346,230/256,595.50
  6. Step 6: Final answer
    x = 132,069.14

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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.