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Finding the Fourth Proportional to 258,992.70, 388,549.15 and 81,495.10

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Solution

The fourth proportional to 258,992.70, 388,549.15 and 81,495.10 is: 122,261.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,992.70 : 388,549.15 = 81,495.10 : x
  2. Step 2: Convert to fraction form
    258,992.70/388,549.15 = 81,495.10/x
  3. Step 3: Cross multiply
    258,992.70x = 388,549.15 × 81,495.10
  4. Step 4: Simplify right side
    258,992.70x = 31,664,852,028.13
  5. Step 5: Solve for x
    x = 31,664,852,028.13/258,992.70
  6. Step 6: Final answer
    x = 122,261.56

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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.