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Finding the Fourth Proportional to 210,558, 315,858.24 and 68,397.36

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Solution

The fourth proportional to 210,558, 315,858.24 and 68,397.36 is: 102,602.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,558 : 315,858.24 = 68,397.36 : x
  2. Step 2: Convert to fraction form
    210,558/315,858.24 = 68,397.36/x
  3. Step 3: Cross multiply
    210,558x = 315,858.24 × 68,397.36
  4. Step 4: Simplify right side
    210,558x = 21,603,869,750.25
  5. Step 5: Solve for x
    x = 21,603,869,750.25/210,558
  6. Step 6: Final answer
    x = 102,602.94

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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.