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Finding the Fourth Proportional to 118,854.95, 164,021.11 and 65,138.81

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Solution

The fourth proportional to 118,854.95, 164,021.11 and 65,138.81 is: 89,892.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,854.95 : 164,021.11 = 65,138.81 : x
  2. Step 2: Convert to fraction form
    118,854.95/164,021.11 = 65,138.81/x
  3. Step 3: Cross multiply
    118,854.95x = 164,021.11 × 65,138.81
  4. Step 4: Simplify right side
    118,854.95x = 10,684,138,937.33
  5. Step 5: Solve for x
    x = 10,684,138,937.33/118,854.95
  6. Step 6: Final answer
    x = 89,892.25

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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.