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Finding the Fourth Proportional to 78,494.54, 108,321.91 and 42,684.57

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Solution

The fourth proportional to 78,494.54, 108,321.91 and 42,684.57 is: 58,904.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,494.54 : 108,321.91 = 42,684.57 : x
  2. Step 2: Convert to fraction form
    78,494.54/108,321.91 = 42,684.57/x
  3. Step 3: Cross multiply
    78,494.54x = 108,321.91 × 42,684.57
  4. Step 4: Simplify right side
    78,494.54x = 4,623,674,043.22
  5. Step 5: Solve for x
    x = 4,623,674,043.22/78,494.54
  6. Step 6: Final answer
    x = 58,904.41

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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.