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Finding the Fourth Proportional to 206,363.70, 284,798.70 and 121,497.30

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Solution

The fourth proportional to 206,363.70, 284,798.70 and 121,497.30 is: 167,676.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,363.70 : 284,798.70 = 121,497.30 : x
  2. Step 2: Convert to fraction form
    206,363.70/284,798.70 = 121,497.30/x
  3. Step 3: Cross multiply
    206,363.70x = 284,798.70 × 121,497.30
  4. Step 4: Simplify right side
    206,363.70x = 34,602,273,093.51
  5. Step 5: Solve for x
    x = 34,602,273,093.51/206,363.70
  6. Step 6: Final answer
    x = 167,676.16

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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.