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Finding the Fourth Proportional to 163,910.70, 245,874.15 and 85,178.70

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Solution

The fourth proportional to 163,910.70, 245,874.15 and 85,178.70 is: 127,772.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,910.70 : 245,874.15 = 85,178.70 : x
  2. Step 2: Convert to fraction form
    163,910.70/245,874.15 = 85,178.70/x
  3. Step 3: Cross multiply
    163,910.70x = 245,874.15 × 85,178.70
  4. Step 4: Simplify right side
    163,910.70x = 20,943,240,460.61
  5. Step 5: Solve for x
    x = 20,943,240,460.61/163,910.70
  6. Step 6: Final answer
    x = 127,772.26

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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.