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Finding the Fourth Proportional to 109,989, 164,983.50 and 39,868.38

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Solution

The fourth proportional to 109,989, 164,983.50 and 39,868.38 is: 59,802.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,989 : 164,983.50 = 39,868.38 : x
  2. Step 2: Convert to fraction form
    109,989/164,983.50 = 39,868.38/x
  3. Step 3: Cross multiply
    109,989x = 164,983.50 × 39,868.38
  4. Step 4: Simplify right side
    109,989x = 6,577,624,871.73
  5. Step 5: Solve for x
    x = 6,577,624,871.73/109,989
  6. Step 6: Final answer
    x = 59,802.57

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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.