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Finding the Fourth Proportional to 227,978.64, 341,915.94 and 85,838.90

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Solution

The fourth proportional to 227,978.64, 341,915.94 and 85,838.90 is: 128,738.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,978.64 : 341,915.94 = 85,838.90 : x
  2. Step 2: Convert to fraction form
    227,978.64/341,915.94 = 85,838.90/x
  3. Step 3: Cross multiply
    227,978.64x = 341,915.94 × 85,838.90
  4. Step 4: Simplify right side
    227,978.64x = 29,349,686,472.49
  5. Step 5: Solve for x
    x = 29,349,686,472.49/227,978.64
  6. Step 6: Final answer
    x = 128,738.76

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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.