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Finding the Fourth Proportional to 133,764.80, 200,416.80 and 70,491.20

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Solution

The fourth proportional to 133,764.80, 200,416.80 and 70,491.20 is: 105,615.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,764.80 : 200,416.80 = 70,491.20 : x
  2. Step 2: Convert to fraction form
    133,764.80/200,416.80 = 70,491.20/x
  3. Step 3: Cross multiply
    133,764.80x = 200,416.80 × 70,491.20
  4. Step 4: Simplify right side
    133,764.80x = 14,127,620,732.16
  5. Step 5: Solve for x
    x = 14,127,620,732.16/133,764.80
  6. Step 6: Final answer
    x = 105,615.38

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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.