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Finding the Fourth Proportional to 138,674.12, 191,261.46 and 119,585.48

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Solution

The fourth proportional to 138,674.12, 191,261.46 and 119,585.48 is: 164,934.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,674.12 : 191,261.46 = 119,585.48 : x
  2. Step 2: Convert to fraction form
    138,674.12/191,261.46 = 119,585.48/x
  3. Step 3: Cross multiply
    138,674.12x = 191,261.46 × 119,585.48
  4. Step 4: Simplify right side
    138,674.12x = 22,872,093,499.60
  5. Step 5: Solve for x
    x = 22,872,093,499.60/138,674.12
  6. Step 6: Final answer
    x = 164,934.12

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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.