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Finding the Fourth Proportional to 133,156.53, 199,723.86 and 39,662.28

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Solution

The fourth proportional to 133,156.53, 199,723.86 and 39,662.28 is: 59,490.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,156.53 : 199,723.86 = 39,662.28 : x
  2. Step 2: Convert to fraction form
    133,156.53/199,723.86 = 39,662.28/x
  3. Step 3: Cross multiply
    133,156.53x = 199,723.86 × 39,662.28
  4. Step 4: Simplify right side
    133,156.53x = 7,921,503,658.00
  5. Step 5: Solve for x
    x = 7,921,503,658.00/133,156.53
  6. Step 6: Final answer
    x = 59,490.16

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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.