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Finding the Fourth Proportional to 256,102.53, 383,830.81 and 129,774.57

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Solution

The fourth proportional to 256,102.53, 383,830.81 and 129,774.57 is: 194,498.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,102.53 : 383,830.81 = 129,774.57 : x
  2. Step 2: Convert to fraction form
    256,102.53/383,830.81 = 129,774.57/x
  3. Step 3: Cross multiply
    256,102.53x = 383,830.81 × 129,774.57
  4. Step 4: Simplify right side
    256,102.53x = 49,811,478,320.50
  5. Step 5: Solve for x
    x = 49,811,478,320.50/256,102.53
  6. Step 6: Final answer
    x = 194,498.19

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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.