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Finding the Fourth Proportional to 145,764.64, 218,380.72 and 105,684.22

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Solution

The fourth proportional to 145,764.64, 218,380.72 and 105,684.22 is: 158,333.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,764.64 : 218,380.72 = 105,684.22 : x
  2. Step 2: Convert to fraction form
    145,764.64/218,380.72 = 105,684.22/x
  3. Step 3: Cross multiply
    145,764.64x = 218,380.72 × 105,684.22
  4. Step 4: Simplify right side
    145,764.64x = 23,079,396,056.24
  5. Step 5: Solve for x
    x = 23,079,396,056.24/145,764.64
  6. Step 6: Final answer
    x = 158,333.30

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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.