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Finding the Fourth Proportional to 210,481.80, 315,847.26 and 77,455.47

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Solution

The fourth proportional to 210,481.80, 315,847.26 and 77,455.47 is: 116,229.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,481.80 : 315,847.26 = 77,455.47 : x
  2. Step 2: Convert to fraction form
    210,481.80/315,847.26 = 77,455.47/x
  3. Step 3: Cross multiply
    210,481.80x = 315,847.26 × 77,455.47
  4. Step 4: Simplify right side
    210,481.80x = 24,464,097,971.51
  5. Step 5: Solve for x
    x = 24,464,097,971.51/210,481.80
  6. Step 6: Final answer
    x = 116,229.04

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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.