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Finding the Fourth Proportional to 139,984.96, 193,175.76 and 76,324

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Solution

The fourth proportional to 139,984.96, 193,175.76 and 76,324 is: 105,325.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,984.96 : 193,175.76 = 76,324 : x
  2. Step 2: Convert to fraction form
    139,984.96/193,175.76 = 76,324/x
  3. Step 3: Cross multiply
    139,984.96x = 193,175.76 × 76,324
  4. Step 4: Simplify right side
    139,984.96x = 14,743,946,706.24
  5. Step 5: Solve for x
    x = 14,743,946,706.24/139,984.96
  6. Step 6: Final answer
    x = 105,325.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.