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Finding the Fourth Proportional to 111,811.51, 167,683.11 and 31,856

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Solution

The fourth proportional to 111,811.51, 167,683.11 and 31,856 is: 47,774.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,811.51 : 167,683.11 = 31,856 : x
  2. Step 2: Convert to fraction form
    111,811.51/167,683.11 = 31,856/x
  3. Step 3: Cross multiply
    111,811.51x = 167,683.11 × 31,856
  4. Step 4: Simplify right side
    111,811.51x = 5,341,713,152.16
  5. Step 5: Solve for x
    x = 5,341,713,152.16/111,811.51
  6. Step 6: Final answer
    x = 47,774.27

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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.