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Finding the Fourth Proportional to 210,098.81, 315,150.96 and 69,857.44

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Solution

The fourth proportional to 210,098.81, 315,150.96 and 69,857.44 is: 104,787.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,098.81 : 315,150.96 = 69,857.44 : x
  2. Step 2: Convert to fraction form
    210,098.81/315,150.96 = 69,857.44/x
  3. Step 3: Cross multiply
    210,098.81x = 315,150.96 × 69,857.44
  4. Step 4: Simplify right side
    210,098.81x = 22,015,638,753.23
  5. Step 5: Solve for x
    x = 22,015,638,753.23/210,098.81
  6. Step 6: Final answer
    x = 104,787.07

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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.