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Finding the Fourth Proportional to 190,415.80, 285,566.13 and 57,260.71

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Solution

The fourth proportional to 190,415.80, 285,566.13 and 57,260.71 is: 85,873.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,415.80 : 285,566.13 = 57,260.71 : x
  2. Step 2: Convert to fraction form
    190,415.80/285,566.13 = 57,260.71/x
  3. Step 3: Cross multiply
    190,415.80x = 285,566.13 × 57,260.71
  4. Step 4: Simplify right side
    190,415.80x = 16,351,719,355.75
  5. Step 5: Solve for x
    x = 16,351,719,355.75/190,415.80
  6. Step 6: Final answer
    x = 85,873.75

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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.