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Finding the Fourth Proportional to 133,018.61, 199,354.64 and 54,040.50

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Solution

The fourth proportional to 133,018.61, 199,354.64 and 54,040.50 is: 80,990.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,018.61 : 199,354.64 = 54,040.50 : x
  2. Step 2: Convert to fraction form
    133,018.61/199,354.64 = 54,040.50/x
  3. Step 3: Cross multiply
    133,018.61x = 199,354.64 × 54,040.50
  4. Step 4: Simplify right side
    133,018.61x = 10,773,224,152.72
  5. Step 5: Solve for x
    x = 10,773,224,152.72/133,018.61
  6. Step 6: Final answer
    x = 80,990.36

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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.