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Finding the Fourth Proportional to 256,084.68, 384,117.30 and 69,101.04

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Solution

The fourth proportional to 256,084.68, 384,117.30 and 69,101.04 is: 103,648.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,084.68 : 384,117.30 = 69,101.04 : x
  2. Step 2: Convert to fraction form
    256,084.68/384,117.30 = 69,101.04/x
  3. Step 3: Cross multiply
    256,084.68x = 384,117.30 × 69,101.04
  4. Step 4: Simplify right side
    256,084.68x = 26,542,904,911.99
  5. Step 5: Solve for x
    x = 26,542,904,911.99/256,084.68
  6. Step 6: Final answer
    x = 103,648.94

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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.