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Finding the Fourth Proportional to 171,103.40, 256,482.30 and 77,676.20

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Solution

The fourth proportional to 171,103.40, 256,482.30 and 77,676.20 is: 116,435.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,103.40 : 256,482.30 = 77,676.20 : x
  2. Step 2: Convert to fraction form
    171,103.40/256,482.30 = 77,676.20/x
  3. Step 3: Cross multiply
    171,103.40x = 256,482.30 × 77,676.20
  4. Step 4: Simplify right side
    171,103.40x = 19,922,570,431.26
  5. Step 5: Solve for x
    x = 19,922,570,431.26/171,103.40
  6. Step 6: Final answer
    x = 116,435.85

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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.