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Finding the Fourth Proportional to 210,641.73, 315,683.15 and 92,184.09

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Solution

The fourth proportional to 210,641.73, 315,683.15 and 92,184.09 is: 138,153.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,641.73 : 315,683.15 = 92,184.09 : x
  2. Step 2: Convert to fraction form
    210,641.73/315,683.15 = 92,184.09/x
  3. Step 3: Cross multiply
    210,641.73x = 315,683.15 × 92,184.09
  4. Step 4: Simplify right side
    210,641.73x = 29,100,963,450.16
  5. Step 5: Solve for x
    x = 29,100,963,450.16/210,641.73
  6. Step 6: Final answer
    x = 138,153.84

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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.