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Finding the Fourth Proportional to 78,367.88, 108,141.68 and 46,103.78

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Solution

The fourth proportional to 78,367.88, 108,141.68 and 46,103.78 is: 63,619.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,367.88 : 108,141.68 = 46,103.78 : x
  2. Step 2: Convert to fraction form
    78,367.88/108,141.68 = 46,103.78/x
  3. Step 3: Cross multiply
    78,367.88x = 108,141.68 × 46,103.78
  4. Step 4: Simplify right side
    78,367.88x = 4,985,740,609.16
  5. Step 5: Solve for x
    x = 4,985,740,609.16/78,367.88
  6. Step 6: Final answer
    x = 63,619.70

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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.