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Finding the Fourth Proportional to 138,361.40, 189,693.30 and 135,839.13

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Solution

The fourth proportional to 138,361.40, 189,693.30 and 135,839.13 is: 186,235.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,361.40 : 189,693.30 = 135,839.13 : x
  2. Step 2: Convert to fraction form
    138,361.40/189,693.30 = 135,839.13/x
  3. Step 3: Cross multiply
    138,361.40x = 189,693.30 × 135,839.13
  4. Step 4: Simplify right side
    138,361.40x = 25,767,772,838.83
  5. Step 5: Solve for x
    x = 25,767,772,838.83/138,361.40
  6. Step 6: Final answer
    x = 186,235.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.