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Finding the Fourth Proportional to 190,061.60, 285,093.60 and 49,819

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Solution

The fourth proportional to 190,061.60, 285,093.60 and 49,819 is: 74,728.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,061.60 : 285,093.60 = 49,819 : x
  2. Step 2: Convert to fraction form
    190,061.60/285,093.60 = 49,819/x
  3. Step 3: Cross multiply
    190,061.60x = 285,093.60 × 49,819
  4. Step 4: Simplify right side
    190,061.60x = 14,203,078,058.40
  5. Step 5: Solve for x
    x = 14,203,078,058.40/190,061.60
  6. Step 6: Final answer
    x = 74,728.81

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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.