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Finding the Fourth Proportional to 104,168.64, 143,727.84 and 61,719.84

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Solution

The fourth proportional to 104,168.64, 143,727.84 and 61,719.84 is: 85,158.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,168.64 : 143,727.84 = 61,719.84 : x
  2. Step 2: Convert to fraction form
    104,168.64/143,727.84 = 61,719.84/x
  3. Step 3: Cross multiply
    104,168.64x = 143,727.84 × 61,719.84
  4. Step 4: Simplify right side
    104,168.64x = 8,870,859,288.35
  5. Step 5: Solve for x
    x = 8,870,859,288.35/104,168.64
  6. Step 6: Final answer
    x = 85,158.64

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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.