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Finding the Fourth Proportional to 253,083.30, 379,495.98 and 84,543.06

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Solution

The fourth proportional to 253,083.30, 379,495.98 and 84,543.06 is: 126,771.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,083.30 : 379,495.98 = 84,543.06 : x
  2. Step 2: Convert to fraction form
    253,083.30/379,495.98 = 84,543.06/x
  3. Step 3: Cross multiply
    253,083.30x = 379,495.98 × 84,543.06
  4. Step 4: Simplify right side
    253,083.30x = 32,083,751,406.90
  5. Step 5: Solve for x
    x = 32,083,751,406.90/253,083.30
  6. Step 6: Final answer
    x = 126,771.51

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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.