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Finding the Fourth Proportional to 171,098.90, 256,475.55 and 77,671.70

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Solution

The fourth proportional to 171,098.90, 256,475.55 and 77,671.70 is: 116,429.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,098.90 : 256,475.55 = 77,671.70 : x
  2. Step 2: Convert to fraction form
    171,098.90/256,475.55 = 77,671.70/x
  3. Step 3: Cross multiply
    171,098.90x = 256,475.55 × 77,671.70
  4. Step 4: Simplify right side
    171,098.90x = 19,920,891,976.94
  5. Step 5: Solve for x
    x = 19,920,891,976.94/171,098.90
  6. Step 6: Final answer
    x = 116,429.11

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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.