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Finding the Fourth Proportional to 121,078.53, 181,615.77 and 54,471.51

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Solution

The fourth proportional to 121,078.53, 181,615.77 and 54,471.51 is: 81,706.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,078.53 : 181,615.77 = 54,471.51 : x
  2. Step 2: Convert to fraction form
    121,078.53/181,615.77 = 54,471.51/x
  3. Step 3: Cross multiply
    121,078.53x = 181,615.77 × 54,471.51
  4. Step 4: Simplify right side
    121,078.53x = 9,892,885,231.71
  5. Step 5: Solve for x
    x = 9,892,885,231.71/121,078.53
  6. Step 6: Final answer
    x = 81,706.35

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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.