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Finding the Fourth Proportional to 266,706.90, 400,100.16 and 98,214.30

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Solution

The fourth proportional to 266,706.90, 400,100.16 and 98,214.30 is: 147,336.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,706.90 : 400,100.16 = 98,214.30 : x
  2. Step 2: Convert to fraction form
    266,706.90/400,100.16 = 98,214.30/x
  3. Step 3: Cross multiply
    266,706.90x = 400,100.16 × 98,214.30
  4. Step 4: Simplify right side
    266,706.90x = 39,295,557,144.29
  5. Step 5: Solve for x
    x = 39,295,557,144.29/266,706.90
  6. Step 6: Final answer
    x = 147,336.11

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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.