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Finding the Fourth Proportional to 189,755.66, 284,600.54 and 71,427.90

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Solution

The fourth proportional to 189,755.66, 284,600.54 and 71,427.90 is: 107,129.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,755.66 : 284,600.54 = 71,427.90 : x
  2. Step 2: Convert to fraction form
    189,755.66/284,600.54 = 71,427.90/x
  3. Step 3: Cross multiply
    189,755.66x = 284,600.54 × 71,427.90
  4. Step 4: Simplify right side
    189,755.66x = 20,328,418,911.07
  5. Step 5: Solve for x
    x = 20,328,418,911.07/189,755.66
  6. Step 6: Final answer
    x = 107,129.45

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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.