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Finding the Fourth Proportional to 210,099.82, 315,152.47 and 69,858.44

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Solution

The fourth proportional to 210,099.82, 315,152.47 and 69,858.44 is: 104,788.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,099.82 : 315,152.47 = 69,858.44 : x
  2. Step 2: Convert to fraction form
    210,099.82/315,152.47 = 69,858.44/x
  3. Step 3: Cross multiply
    210,099.82x = 315,152.47 × 69,858.44
  4. Step 4: Simplify right side
    210,099.82x = 22,016,059,567.05
  5. Step 5: Solve for x
    x = 22,016,059,567.05/210,099.82
  6. Step 6: Final answer
    x = 104,788.57

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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.