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Finding the Fourth Proportional to 190,428.42, 285,682.59 and 57,318.42

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Solution

The fourth proportional to 190,428.42, 285,682.59 and 57,318.42 is: 85,989.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,428.42 : 285,682.59 = 57,318.42 : x
  2. Step 2: Convert to fraction form
    190,428.42/285,682.59 = 57,318.42/x
  3. Step 3: Cross multiply
    190,428.42x = 285,682.59 × 57,318.42
  4. Step 4: Simplify right side
    190,428.42x = 16,374,874,680.31
  5. Step 5: Solve for x
    x = 16,374,874,680.31/190,428.42
  6. Step 6: Final answer
    x = 85,989.66

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1.5x scale

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.