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Finding the Fourth Proportional to 68,289.86, 102,431.14 and 20,904.98

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Solution

The fourth proportional to 68,289.86, 102,431.14 and 20,904.98 is: 31,356.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,289.86 : 102,431.14 = 20,904.98 : x
  2. Step 2: Convert to fraction form
    68,289.86/102,431.14 = 20,904.98/x
  3. Step 3: Cross multiply
    68,289.86x = 102,431.14 × 20,904.98
  4. Step 4: Simplify right side
    68,289.86x = 2,141,320,368.66
  5. Step 5: Solve for x
    x = 2,141,320,368.66/68,289.86
  6. Step 6: Final answer
    x = 31,356.34

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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.