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Finding the Fourth Proportional to 133,574.40, 200,491.20 and 67,089.60

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Solution

The fourth proportional to 133,574.40, 200,491.20 and 67,089.60 is: 100,699.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,574.40 : 200,491.20 = 67,089.60 : x
  2. Step 2: Convert to fraction form
    133,574.40/200,491.20 = 67,089.60/x
  3. Step 3: Cross multiply
    133,574.40x = 200,491.20 × 67,089.60
  4. Step 4: Simplify right side
    133,574.40x = 13,450,874,411.52
  5. Step 5: Solve for x
    x = 13,450,874,411.52/133,574.40
  6. Step 6: Final answer
    x = 100,699.49

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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.