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Finding the Fourth Proportional to 208,184.84, 287,295 and 112,692.32

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Solution

The fourth proportional to 208,184.84, 287,295 and 112,692.32 is: 155,515.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,184.84 : 287,295 = 112,692.32 : x
  2. Step 2: Convert to fraction form
    208,184.84/287,295 = 112,692.32/x
  3. Step 3: Cross multiply
    208,184.84x = 287,295 × 112,692.32
  4. Step 4: Simplify right side
    208,184.84x = 32,375,940,074.40
  5. Step 5: Solve for x
    x = 32,375,940,074.40/208,184.84
  6. Step 6: Final answer
    x = 155,515.36

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1.5x scale

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.