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Finding the Fourth Proportional to 213,861.35, 295,159.82 and 123,199.87

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Solution

The fourth proportional to 213,861.35, 295,159.82 and 123,199.87 is: 170,033.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,861.35 : 295,159.82 = 123,199.87 : x
  2. Step 2: Convert to fraction form
    213,861.35/295,159.82 = 123,199.87/x
  3. Step 3: Cross multiply
    213,861.35x = 295,159.82 × 123,199.87
  4. Step 4: Simplify right side
    213,861.35x = 36,363,651,692.25
  5. Step 5: Solve for x
    x = 36,363,651,692.25/213,861.35
  6. Step 6: Final answer
    x = 170,033.77

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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.