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Finding the Fourth Proportional to 210,563, 315,865.74 and 68,402.36

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Solution

The fourth proportional to 210,563, 315,865.74 and 68,402.36 is: 102,610.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,563 : 315,865.74 = 68,402.36 : x
  2. Step 2: Convert to fraction form
    210,563/315,865.74 = 68,402.36/x
  3. Step 3: Cross multiply
    210,563x = 315,865.74 × 68,402.36
  4. Step 4: Simplify right side
    210,563x = 21,605,962,059.15
  5. Step 5: Solve for x
    x = 21,605,962,059.15/210,563
  6. Step 6: Final answer
    x = 102,610.44

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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.