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Finding the Fourth Proportional to 133,846.20, 200,737.30 and 77,564.60

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Solution

The fourth proportional to 133,846.20, 200,737.30 and 77,564.60 is: 116,328.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,846.20 : 200,737.30 = 77,564.60 : x
  2. Step 2: Convert to fraction form
    133,846.20/200,737.30 = 77,564.60/x
  3. Step 3: Cross multiply
    133,846.20x = 200,737.30 × 77,564.60
  4. Step 4: Simplify right side
    133,846.20x = 15,570,108,379.58
  5. Step 5: Solve for x
    x = 15,570,108,379.58/133,846.20
  6. Step 6: Final answer
    x = 116,328.36

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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.