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Finding the Fourth Proportional to 206,491.66, 284,656.86 and 145,955.50

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Solution

The fourth proportional to 206,491.66, 284,656.86 and 145,955.50 is: 201,205.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,491.66 : 284,656.86 = 145,955.50 : x
  2. Step 2: Convert to fraction form
    206,491.66/284,656.86 = 145,955.50/x
  3. Step 3: Cross multiply
    206,491.66x = 284,656.86 × 145,955.50
  4. Step 4: Simplify right side
    206,491.66x = 41,547,234,329.73
  5. Step 5: Solve for x
    x = 41,547,234,329.73/206,491.66
  6. Step 6: Final answer
    x = 201,205.39

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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.