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Finding the Fourth Proportional to 78,708.57, 118,019.07 and 31,906.77

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Solution

The fourth proportional to 78,708.57, 118,019.07 and 31,906.77 is: 47,842.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,708.57 : 118,019.07 = 31,906.77 : x
  2. Step 2: Convert to fraction form
    78,708.57/118,019.07 = 31,906.77/x
  3. Step 3: Cross multiply
    78,708.57x = 118,019.07 × 31,906.77
  4. Step 4: Simplify right side
    78,708.57x = 3,765,607,322.10
  5. Step 5: Solve for x
    x = 3,765,607,322.10/78,708.57
  6. Step 6: Final answer
    x = 47,842.41

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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.