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Finding the Fourth Proportional to 145,831, 201,246.82 and 78,763

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Solution

The fourth proportional to 145,831, 201,246.82 and 78,763 is: 108,692.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,831 : 201,246.82 = 78,763 : x
  2. Step 2: Convert to fraction form
    145,831/201,246.82 = 78,763/x
  3. Step 3: Cross multiply
    145,831x = 201,246.82 × 78,763
  4. Step 4: Simplify right side
    145,831x = 15,850,803,283.66
  5. Step 5: Solve for x
    x = 15,850,803,283.66/145,831
  6. Step 6: Final answer
    x = 108,692.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.