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Finding the Fourth Proportional to 206,896.10, 310,344.15 and 122,915.30

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Solution

The fourth proportional to 206,896.10, 310,344.15 and 122,915.30 is: 184,372.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,896.10 : 310,344.15 = 122,915.30 : x
  2. Step 2: Convert to fraction form
    206,896.10/310,344.15 = 122,915.30/x
  3. Step 3: Cross multiply
    206,896.10x = 310,344.15 × 122,915.30
  4. Step 4: Simplify right side
    206,896.10x = 38,146,044,300.50
  5. Step 5: Solve for x
    x = 38,146,044,300.50/206,896.10
  6. Step 6: Final answer
    x = 184,372.95

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1.5x scale

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.