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Finding the Fourth Proportional to 213,692.64, 320,560.32 and 73,432.80

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Solution

The fourth proportional to 213,692.64, 320,560.32 and 73,432.80 is: 110,156.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,692.64 : 320,560.32 = 73,432.80 : x
  2. Step 2: Convert to fraction form
    213,692.64/320,560.32 = 73,432.80/x
  3. Step 3: Cross multiply
    213,692.64x = 320,560.32 × 73,432.80
  4. Step 4: Simplify right side
    213,692.64x = 23,539,641,866.50
  5. Step 5: Solve for x
    x = 23,539,641,866.50/213,692.64
  6. Step 6: Final answer
    x = 110,156.54

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1.5x scale

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.