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Finding the Fourth Proportional to 266,264.89, 399,164.05 and 100,169.53

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Solution

The fourth proportional to 266,264.89, 399,164.05 and 100,169.53 is: 150,166.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,264.89 : 399,164.05 = 100,169.53 : x
  2. Step 2: Convert to fraction form
    266,264.89/399,164.05 = 100,169.53/x
  3. Step 3: Cross multiply
    266,264.89x = 399,164.05 × 100,169.53
  4. Step 4: Simplify right side
    266,264.89x = 39,984,075,281.40
  5. Step 5: Solve for x
    x = 39,984,075,281.40/266,264.89
  6. Step 6: Final answer
    x = 150,166.53

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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.