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Finding the Fourth Proportional to 266,730, 400,098.84 and 69,738

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Solution

The fourth proportional to 266,730, 400,098.84 and 69,738 is: 104,608.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,730 : 400,098.84 = 69,738 : x
  2. Step 2: Convert to fraction form
    266,730/400,098.84 = 69,738/x
  3. Step 3: Cross multiply
    266,730x = 400,098.84 × 69,738
  4. Step 4: Simplify right side
    266,730x = 27,902,092,903.92
  5. Step 5: Solve for x
    x = 27,902,092,903.92/266,730
  6. Step 6: Final answer
    x = 104,608.00

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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.