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Finding the Fourth Proportional to 281,195.54, 388,049.84 and 153,871.13

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Solution

The fourth proportional to 281,195.54, 388,049.84 and 153,871.13 is: 212,342.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,195.54 : 388,049.84 = 153,871.13 : x
  2. Step 2: Convert to fraction form
    281,195.54/388,049.84 = 153,871.13/x
  3. Step 3: Cross multiply
    281,195.54x = 388,049.84 × 153,871.13
  4. Step 4: Simplify right side
    281,195.54x = 59,709,664,667.51
  5. Step 5: Solve for x
    x = 59,709,664,667.51/281,195.54
  6. Step 6: Final answer
    x = 212,342.15

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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.