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Finding the Fourth Proportional to 206,349.06, 284,640.72 and 129,746.72

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Solution

The fourth proportional to 206,349.06, 284,640.72 and 129,746.72 is: 178,974.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,349.06 : 284,640.72 = 129,746.72 : x
  2. Step 2: Convert to fraction form
    206,349.06/284,640.72 = 129,746.72/x
  3. Step 3: Cross multiply
    206,349.06x = 284,640.72 × 129,746.72
  4. Step 4: Simplify right side
    206,349.06x = 36,931,199,798.44
  5. Step 5: Solve for x
    x = 36,931,199,798.44/206,349.06
  6. Step 6: Final answer
    x = 178,974.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.