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Finding the Fourth Proportional to 258,511.74, 387,607.77 and 100,555.26

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Solution

The fourth proportional to 258,511.74, 387,607.77 and 100,555.26 is: 150,770.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,511.74 : 387,607.77 = 100,555.26 : x
  2. Step 2: Convert to fraction form
    258,511.74/387,607.77 = 100,555.26/x
  3. Step 3: Cross multiply
    258,511.74x = 387,607.77 × 100,555.26
  4. Step 4: Simplify right side
    258,511.74x = 38,976,000,090.37
  5. Step 5: Solve for x
    x = 38,976,000,090.37/258,511.74
  6. Step 6: Final answer
    x = 150,770.72

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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.