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Finding the Fourth Proportional to 78,179.40, 107,866.62 and 46,321.92

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Solution

The fourth proportional to 78,179.40, 107,866.62 and 46,321.92 is: 63,911.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,179.40 : 107,866.62 = 46,321.92 : x
  2. Step 2: Convert to fraction form
    78,179.40/107,866.62 = 46,321.92/x
  3. Step 3: Cross multiply
    78,179.40x = 107,866.62 × 46,321.92
  4. Step 4: Simplify right side
    78,179.40x = 4,996,588,942.31
  5. Step 5: Solve for x
    x = 4,996,588,942.31/78,179.40
  6. Step 6: Final answer
    x = 63,911.84

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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.