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Finding the Fourth Proportional to 256,093.40, 384,140.10 and 69,104.60

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Solution

The fourth proportional to 256,093.40, 384,140.10 and 69,104.60 is: 103,656.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,093.40 : 384,140.10 = 69,104.60 : x
  2. Step 2: Convert to fraction form
    256,093.40/384,140.10 = 69,104.60/x
  3. Step 3: Cross multiply
    256,093.40x = 384,140.10 × 69,104.60
  4. Step 4: Simplify right side
    256,093.40x = 26,545,847,954.46
  5. Step 5: Solve for x
    x = 26,545,847,954.46/256,093.40
  6. Step 6: Final answer
    x = 103,656.90

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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.