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Finding the Fourth Proportional to 133,798.34, 200,658.63 and 87,297.86

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Solution

The fourth proportional to 133,798.34, 200,658.63 and 87,297.86 is: 130,921.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,798.34 : 200,658.63 = 87,297.86 : x
  2. Step 2: Convert to fraction form
    133,798.34/200,658.63 = 87,297.86/x
  3. Step 3: Cross multiply
    133,798.34x = 200,658.63 × 87,297.86
  4. Step 4: Simplify right side
    133,798.34x = 17,517,068,989.53
  5. Step 5: Solve for x
    x = 17,517,068,989.53/133,798.34
  6. Step 6: Final answer
    x = 130,921.42

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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.