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Finding the Fourth Proportional to 148,640.46, 205,065.43 and 84,944.08

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Solution

The fourth proportional to 148,640.46, 205,065.43 and 84,944.08 is: 117,189.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,640.46 : 205,065.43 = 84,944.08 : x
  2. Step 2: Convert to fraction form
    148,640.46/205,065.43 = 84,944.08/x
  3. Step 3: Cross multiply
    148,640.46x = 205,065.43 × 84,944.08
  4. Step 4: Simplify right side
    148,640.46x = 17,419,094,291.15
  5. Step 5: Solve for x
    x = 17,419,094,291.15/148,640.46
  6. Step 6: Final answer
    x = 117,189.45

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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.