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Finding the Fourth Proportional to 172,084, 258,135.72 and 61,276

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Solution

The fourth proportional to 172,084, 258,135.72 and 61,276 is: 91,917.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,084 : 258,135.72 = 61,276 : x
  2. Step 2: Convert to fraction form
    172,084/258,135.72 = 61,276/x
  3. Step 3: Cross multiply
    172,084x = 258,135.72 × 61,276
  4. Step 4: Simplify right side
    172,084x = 15,817,524,378.72
  5. Step 5: Solve for x
    x = 15,817,524,378.72/172,084
  6. Step 6: Final answer
    x = 91,917.46

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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.