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Finding the Fourth Proportional to 104,223.84, 143,679.60 and 74,364

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Solution

The fourth proportional to 104,223.84, 143,679.60 and 74,364 is: 102,515.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,223.84 : 143,679.60 = 74,364 : x
  2. Step 2: Convert to fraction form
    104,223.84/143,679.60 = 74,364/x
  3. Step 3: Cross multiply
    104,223.84x = 143,679.60 × 74,364
  4. Step 4: Simplify right side
    104,223.84x = 10,684,589,774.40
  5. Step 5: Solve for x
    x = 10,684,589,774.40/104,223.84
  6. Step 6: Final answer
    x = 102,515.79

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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.