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Finding the Fourth Proportional to 210,147.92, 315,373.30 and 83,714.98

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Solution

The fourth proportional to 210,147.92, 315,373.30 and 83,714.98 is: 125,632.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,147.92 : 315,373.30 = 83,714.98 : x
  2. Step 2: Convert to fraction form
    210,147.92/315,373.30 = 83,714.98/x
  3. Step 3: Cross multiply
    210,147.92x = 315,373.30 × 83,714.98
  4. Step 4: Simplify right side
    210,147.92x = 26,401,469,502.03
  5. Step 5: Solve for x
    x = 26,401,469,502.03/210,147.92
  6. Step 6: Final answer
    x = 125,632.79

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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.