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Finding the Fourth Proportional to 133,871.52, 200,533.90 and 74,738.68

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Solution

The fourth proportional to 133,871.52, 200,533.90 and 74,738.68 is: 111,955.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,871.52 : 200,533.90 = 74,738.68 : x
  2. Step 2: Convert to fraction form
    133,871.52/200,533.90 = 74,738.68/x
  3. Step 3: Cross multiply
    133,871.52x = 200,533.90 × 74,738.68
  4. Step 4: Simplify right side
    133,871.52x = 14,987,639,045.07
  5. Step 5: Solve for x
    x = 14,987,639,045.07/133,871.52
  6. Step 6: Final answer
    x = 111,955.40

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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.