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Finding the Fourth Proportional to 89,782, 134,692.44 and 34,378

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Solution

The fourth proportional to 89,782, 134,692.44 and 34,378 is: 51,574.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,782 : 134,692.44 = 34,378 : x
  2. Step 2: Convert to fraction form
    89,782/134,692.44 = 34,378/x
  3. Step 3: Cross multiply
    89,782x = 134,692.44 × 34,378
  4. Step 4: Simplify right side
    89,782x = 4,630,456,702.32
  5. Step 5: Solve for x
    x = 4,630,456,702.32/89,782
  6. Step 6: Final answer
    x = 51,574.44

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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.