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Finding the Fourth Proportional to 78,707.81, 118,017.96 and 31,906.01

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Solution

The fourth proportional to 78,707.81, 118,017.96 and 31,906.01 is: 47,841.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,707.81 : 118,017.96 = 31,906.01 : x
  2. Step 2: Convert to fraction form
    78,707.81/118,017.96 = 31,906.01/x
  3. Step 3: Cross multiply
    78,707.81x = 118,017.96 × 31,906.01
  4. Step 4: Simplify right side
    78,707.81x = 3,765,481,621.85
  5. Step 5: Solve for x
    x = 3,765,481,621.85/78,707.81
  6. Step 6: Final answer
    x = 47,841.27

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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.