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Finding the Fourth Proportional to 172,588.05, 258,776.37 and 67,284

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Solution

The fourth proportional to 172,588.05, 258,776.37 and 67,284 is: 100,884.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,588.05 : 258,776.37 = 67,284 : x
  2. Step 2: Convert to fraction form
    172,588.05/258,776.37 = 67,284/x
  3. Step 3: Cross multiply
    172,588.05x = 258,776.37 × 67,284
  4. Step 4: Simplify right side
    172,588.05x = 17,411,509,279.08
  5. Step 5: Solve for x
    x = 17,411,509,279.08/172,588.05
  6. Step 6: Final answer
    x = 100,884.79

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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.