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Finding the Fourth Proportional to 210,871.45, 315,957.24 and 148,410.73

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Solution

The fourth proportional to 210,871.45, 315,957.24 and 148,410.73 is: 222,369.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,871.45 : 315,957.24 = 148,410.73 : x
  2. Step 2: Convert to fraction form
    210,871.45/315,957.24 = 148,410.73/x
  3. Step 3: Cross multiply
    210,871.45x = 315,957.24 × 148,410.73
  4. Step 4: Simplify right side
    210,871.45x = 46,891,444,637.19
  5. Step 5: Solve for x
    x = 46,891,444,637.19/210,871.45
  6. Step 6: Final answer
    x = 222,369.81

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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.