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Finding the Fourth Proportional to 133,773.86, 200,644.38 and 77,644.50

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Solution

The fourth proportional to 133,773.86, 200,644.38 and 77,644.50 is: 116,457.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,773.86 : 200,644.38 = 77,644.50 : x
  2. Step 2: Convert to fraction form
    133,773.86/200,644.38 = 77,644.50/x
  3. Step 3: Cross multiply
    133,773.86x = 200,644.38 × 77,644.50
  4. Step 4: Simplify right side
    133,773.86x = 15,578,932,562.91
  5. Step 5: Solve for x
    x = 15,578,932,562.91/133,773.86
  6. Step 6: Final answer
    x = 116,457.23

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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.