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Finding the Fourth Proportional to 206,468.10, 284,624.40 and 145,931.94

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Solution

The fourth proportional to 206,468.10, 284,624.40 and 145,931.94 is: 201,172.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,468.10 : 284,624.40 = 145,931.94 : x
  2. Step 2: Convert to fraction form
    206,468.10/284,624.40 = 145,931.94/x
  3. Step 3: Cross multiply
    206,468.10x = 284,624.40 × 145,931.94
  4. Step 4: Simplify right side
    206,468.10x = 41,535,790,863.34
  5. Step 5: Solve for x
    x = 41,535,790,863.34/206,468.10
  6. Step 6: Final answer
    x = 201,172.92

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