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Finding the Fourth Proportional to 133,042, 199,457.03 and 76,818.35

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Solution

The fourth proportional to 133,042, 199,457.03 and 76,818.35 is: 115,166.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,042 : 199,457.03 = 76,818.35 : x
  2. Step 2: Convert to fraction form
    133,042/199,457.03 = 76,818.35/x
  3. Step 3: Cross multiply
    133,042x = 199,457.03 × 76,818.35
  4. Step 4: Simplify right side
    133,042x = 15,321,959,940.50
  5. Step 5: Solve for x
    x = 15,321,959,940.50/133,042
  6. Step 6: Final answer
    x = 115,166.34

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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.