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Finding the Fourth Proportional to 171,435.78, 257,153.70 and 82,672.74

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Solution

The fourth proportional to 171,435.78, 257,153.70 and 82,672.74 is: 124,009.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,435.78 : 257,153.70 = 82,672.74 : x
  2. Step 2: Convert to fraction form
    171,435.78/257,153.70 = 82,672.74/x
  3. Step 3: Cross multiply
    171,435.78x = 257,153.70 × 82,672.74
  4. Step 4: Simplify right side
    171,435.78x = 21,259,600,980.14
  5. Step 5: Solve for x
    x = 21,259,600,980.14/171,435.78
  6. Step 6: Final answer
    x = 124,009.12

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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.