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Finding the Fourth Proportional to 121,076.67, 181,457.08 and 75,465.54

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Solution

The fourth proportional to 121,076.67, 181,457.08 and 75,465.54 is: 113,099.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,076.67 : 181,457.08 = 75,465.54 : x
  2. Step 2: Convert to fraction form
    121,076.67/181,457.08 = 75,465.54/x
  3. Step 3: Cross multiply
    121,076.67x = 181,457.08 × 75,465.54
  4. Step 4: Simplify right side
    121,076.67x = 13,693,756,340.36
  5. Step 5: Solve for x
    x = 13,693,756,340.36/121,076.67
  6. Step 6: Final answer
    x = 113,099.87

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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.