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Finding the Fourth Proportional to 339,160, 508,749.72 and 89,842

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Solution

The fourth proportional to 339,160, 508,749.72 and 89,842 is: 134,765.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,160 : 508,749.72 = 89,842 : x
  2. Step 2: Convert to fraction form
    339,160/508,749.72 = 89,842/x
  3. Step 3: Cross multiply
    339,160x = 508,749.72 × 89,842
  4. Step 4: Simplify right side
    339,160x = 45,707,092,344.24
  5. Step 5: Solve for x
    x = 45,707,092,344.24/339,160
  6. Step 6: Final answer
    x = 134,765.57

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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.