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Finding the Fourth Proportional to 118,916.11, 164,102.98 and 65,201.01

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Solution

The fourth proportional to 118,916.11, 164,102.98 and 65,201.01 is: 89,976.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,916.11 : 164,102.98 = 65,201.01 : x
  2. Step 2: Convert to fraction form
    118,916.11/164,102.98 = 65,201.01/x
  3. Step 3: Cross multiply
    118,916.11x = 164,102.98 × 65,201.01
  4. Step 4: Simplify right side
    118,916.11x = 10,699,680,040.01
  5. Step 5: Solve for x
    x = 10,699,680,040.01/118,916.11
  6. Step 6: Final answer
    x = 89,976.71

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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.