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Finding the Fourth Proportional to 104,169.32, 143,745 and 61,144.16

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Solution

The fourth proportional to 104,169.32, 143,745 and 61,144.16 is: 84,373.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,169.32 : 143,745 = 61,144.16 : x
  2. Step 2: Convert to fraction form
    104,169.32/143,745 = 61,144.16/x
  3. Step 3: Cross multiply
    104,169.32x = 143,745 × 61,144.16
  4. Step 4: Simplify right side
    104,169.32x = 8,789,167,279.20
  5. Step 5: Solve for x
    x = 8,789,167,279.20/104,169.32
  6. Step 6: Final answer
    x = 84,373.86

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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.