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Finding the Fourth Proportional to 259,442.86, 388,996.59 and 101,687.26

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Solution

The fourth proportional to 259,442.86, 388,996.59 and 101,687.26 is: 152,465.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,442.86 : 388,996.59 = 101,687.26 : x
  2. Step 2: Convert to fraction form
    259,442.86/388,996.59 = 101,687.26/x
  3. Step 3: Cross multiply
    259,442.86x = 388,996.59 × 101,687.26
  4. Step 4: Simplify right side
    259,442.86x = 39,555,997,386.44
  5. Step 5: Solve for x
    x = 39,555,997,386.44/259,442.86
  6. Step 6: Final answer
    x = 152,465.16

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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.