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Finding the Fourth Proportional to 190,704.64, 285,942.80 and 64,342.10

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Solution

The fourth proportional to 190,704.64, 285,942.80 and 64,342.10 is: 96,474.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,704.64 : 285,942.80 = 64,342.10 : x
  2. Step 2: Convert to fraction form
    190,704.64/285,942.80 = 64,342.10/x
  3. Step 3: Cross multiply
    190,704.64x = 285,942.80 × 64,342.10
  4. Step 4: Simplify right side
    190,704.64x = 18,398,158,963.02
  5. Step 5: Solve for x
    x = 18,398,158,963.02/190,704.64
  6. Step 6: Final answer
    x = 96,474.63

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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.