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Finding the Fourth Proportional to 121,424, 181,792.44 and 64,367.84

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Solution

The fourth proportional to 121,424, 181,792.44 and 64,367.84 is: 96,369.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,424 : 181,792.44 = 64,367.84 : x
  2. Step 2: Convert to fraction form
    121,424/181,792.44 = 64,367.84/x
  3. Step 3: Cross multiply
    121,424x = 181,792.44 × 64,367.84
  4. Step 4: Simplify right side
    121,424x = 11,701,586,691.13
  5. Step 5: Solve for x
    x = 11,701,586,691.13/121,424
  6. Step 6: Final answer
    x = 96,369.64

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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.