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Finding the Fourth Proportional to 258,865.80, 388,298.40 and 81,388.32

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Solution

The fourth proportional to 258,865.80, 388,298.40 and 81,388.32 is: 122,082.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,865.80 : 388,298.40 = 81,388.32 : x
  2. Step 2: Convert to fraction form
    258,865.80/388,298.40 = 81,388.32/x
  3. Step 3: Cross multiply
    258,865.80x = 388,298.40 × 81,388.32
  4. Step 4: Simplify right side
    258,865.80x = 31,602,954,434.69
  5. Step 5: Solve for x
    x = 31,602,954,434.69/258,865.80
  6. Step 6: Final answer
    x = 122,082.39

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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.