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Finding the Fourth Proportional to 133,051.90, 199,723.65 and 83,188.30

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Solution

The fourth proportional to 133,051.90, 199,723.65 and 83,188.30 is: 124,873.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,051.90 : 199,723.65 = 83,188.30 : x
  2. Step 2: Convert to fraction form
    133,051.90/199,723.65 = 83,188.30/x
  3. Step 3: Cross multiply
    133,051.90x = 199,723.65 × 83,188.30
  4. Step 4: Simplify right side
    133,051.90x = 16,614,670,913.30
  5. Step 5: Solve for x
    x = 16,614,670,913.30/133,051.90
  6. Step 6: Final answer
    x = 124,873.61

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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.