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Finding the Fourth Proportional to 105,183.84, 145,153.50 and 67,458

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Solution

The fourth proportional to 105,183.84, 145,153.50 and 67,458 is: 93,091.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,183.84 : 145,153.50 = 67,458 : x
  2. Step 2: Convert to fraction form
    105,183.84/145,153.50 = 67,458/x
  3. Step 3: Cross multiply
    105,183.84x = 145,153.50 × 67,458
  4. Step 4: Simplify right side
    105,183.84x = 9,791,764,803
  5. Step 5: Solve for x
    x = 9,791,764,803/105,183.84
  6. Step 6: Final answer
    x = 93,091.91

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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.