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Finding the Fourth Proportional to 133,038.63, 199,451.98 and 76,814.96

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Solution

The fourth proportional to 133,038.63, 199,451.98 and 76,814.96 is: 115,161.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,038.63 : 199,451.98 = 76,814.96 : x
  2. Step 2: Convert to fraction form
    133,038.63/199,451.98 = 76,814.96/x
  3. Step 3: Cross multiply
    133,038.63x = 199,451.98 × 76,814.96
  4. Step 4: Simplify right side
    133,038.63x = 15,320,895,865.62
  5. Step 5: Solve for x
    x = 15,320,895,865.62/133,038.63
  6. Step 6: Final answer
    x = 115,161.26

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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.