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Finding the Fourth Proportional to 189,243.46, 283,837.74 and 61,142.68

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Solution

The fourth proportional to 189,243.46, 283,837.74 and 61,142.68 is: 91,705.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,243.46 : 283,837.74 = 61,142.68 : x
  2. Step 2: Convert to fraction form
    189,243.46/283,837.74 = 61,142.68/x
  3. Step 3: Cross multiply
    189,243.46x = 283,837.74 × 61,142.68
  4. Step 4: Simplify right side
    189,243.46x = 17,354,600,108.74
  5. Step 5: Solve for x
    x = 17,354,600,108.74/189,243.46
  6. Step 6: Final answer
    x = 91,705.15

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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.