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Finding the Fourth Proportional to 210,854.16, 315,769.32 and 115,939.44

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Solution

The fourth proportional to 210,854.16, 315,769.32 and 115,939.44 is: 173,627.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,854.16 : 315,769.32 = 115,939.44 : x
  2. Step 2: Convert to fraction form
    210,854.16/315,769.32 = 115,939.44/x
  3. Step 3: Cross multiply
    210,854.16x = 315,769.32 × 115,939.44
  4. Step 4: Simplify right side
    210,854.16x = 36,610,118,129.98
  5. Step 5: Solve for x
    x = 36,610,118,129.98/210,854.16
  6. Step 6: Final answer
    x = 173,627.68

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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.