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Finding the Fourth Proportional to 119,299.96, 164,638.26 and 65,590

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Solution

The fourth proportional to 119,299.96, 164,638.26 and 65,590 is: 90,516.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,299.96 : 164,638.26 = 65,590 : x
  2. Step 2: Convert to fraction form
    119,299.96/164,638.26 = 65,590/x
  3. Step 3: Cross multiply
    119,299.96x = 164,638.26 × 65,590
  4. Step 4: Simplify right side
    119,299.96x = 10,798,623,473.40
  5. Step 5: Solve for x
    x = 10,798,623,473.40/119,299.96
  6. Step 6: Final answer
    x = 90,516.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.