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Finding the Fourth Proportional to 172,109.39, 258,075 and 77,257.90

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Solution

The fourth proportional to 172,109.39, 258,075 and 77,257.90 is: 115,846.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,109.39 : 258,075 = 77,257.90 : x
  2. Step 2: Convert to fraction form
    172,109.39/258,075 = 77,257.90/x
  3. Step 3: Cross multiply
    172,109.39x = 258,075 × 77,257.90
  4. Step 4: Simplify right side
    172,109.39x = 19,938,331,252.13
  5. Step 5: Solve for x
    x = 19,938,331,252.13/172,109.39
  6. Step 6: Final answer
    x = 115,846.86

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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.