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Finding the Fourth Proportional to 68,569.74, 102,817.63 and 31,109.37

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Solution

The fourth proportional to 68,569.74, 102,817.63 and 31,109.37 is: 46,647.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,569.74 : 102,817.63 = 31,109.37 : x
  2. Step 2: Convert to fraction form
    68,569.74/102,817.63 = 31,109.37/x
  3. Step 3: Cross multiply
    68,569.74x = 102,817.63 × 31,109.37
  4. Step 4: Simplify right side
    68,569.74x = 3,198,592,001.99
  5. Step 5: Solve for x
    x = 3,198,592,001.99/68,569.74
  6. Step 6: Final answer
    x = 46,647.28

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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.