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Finding the Fourth Proportional to 253,531.98, 380,273.16 and 66,543.48

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Solution

The fourth proportional to 253,531.98, 380,273.16 and 66,543.48 is: 99,808.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,531.98 : 380,273.16 = 66,543.48 : x
  2. Step 2: Convert to fraction form
    253,531.98/380,273.16 = 66,543.48/x
  3. Step 3: Cross multiply
    253,531.98x = 380,273.16 × 66,543.48
  4. Step 4: Simplify right side
    253,531.98x = 25,304,699,417.00
  5. Step 5: Solve for x
    x = 25,304,699,417.00/253,531.98
  6. Step 6: Final answer
    x = 99,808.71

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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.