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Finding the Fourth Proportional to 210,493.83, 315,762 and 68,333.16

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Solution

The fourth proportional to 210,493.83, 315,762 and 68,333.16 is: 102,506.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,493.83 : 315,762 = 68,333.16 : x
  2. Step 2: Convert to fraction form
    210,493.83/315,762 = 68,333.16/x
  3. Step 3: Cross multiply
    210,493.83x = 315,762 × 68,333.16
  4. Step 4: Simplify right side
    210,493.83x = 21,577,015,267.92
  5. Step 5: Solve for x
    x = 21,577,015,267.92/210,493.83
  6. Step 6: Final answer
    x = 102,506.64

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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.