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Finding the Fourth Proportional to 228,775.86, 315,722.34 and 126,812.16

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Solution

The fourth proportional to 228,775.86, 315,722.34 and 126,812.16 is: 175,007.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,775.86 : 315,722.34 = 126,812.16 : x
  2. Step 2: Convert to fraction form
    228,775.86/315,722.34 = 126,812.16/x
  3. Step 3: Cross multiply
    228,775.86x = 315,722.34 × 126,812.16
  4. Step 4: Simplify right side
    228,775.86x = 40,037,431,895.65
  5. Step 5: Solve for x
    x = 40,037,431,895.65/228,775.86
  6. Step 6: Final answer
    x = 175,007.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.