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Finding the Fourth Proportional to 189,243.74, 283,613.42 and 89,430.43

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Solution

The fourth proportional to 189,243.74, 283,613.42 and 89,430.43 is: 134,026.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,243.74 : 283,613.42 = 89,430.43 : x
  2. Step 2: Convert to fraction form
    189,243.74/283,613.42 = 89,430.43/x
  3. Step 3: Cross multiply
    189,243.74x = 283,613.42 × 89,430.43
  4. Step 4: Simplify right side
    189,243.74x = 25,363,670,104.37
  5. Step 5: Solve for x
    x = 25,363,670,104.37/189,243.74
  6. Step 6: Final answer
    x = 134,026.47

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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.