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Finding the Fourth Proportional to 258,742.28, 388,129.80 and 81,256.28

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Solution

The fourth proportional to 258,742.28, 388,129.80 and 81,256.28 is: 121,889.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,742.28 : 388,129.80 = 81,256.28 : x
  2. Step 2: Convert to fraction form
    258,742.28/388,129.80 = 81,256.28/x
  3. Step 3: Cross multiply
    258,742.28x = 388,129.80 × 81,256.28
  4. Step 4: Simplify right side
    258,742.28x = 31,537,983,705.14
  5. Step 5: Solve for x
    x = 31,537,983,705.14/258,742.28
  6. Step 6: Final answer
    x = 121,889.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.