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Finding the Fourth Proportional to 129,323.94, 178,463.73 and 74,868.57

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Solution

The fourth proportional to 129,323.94, 178,463.73 and 74,868.57 is: 103,316.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,323.94 : 178,463.73 = 74,868.57 : x
  2. Step 2: Convert to fraction form
    129,323.94/178,463.73 = 74,868.57/x
  3. Step 3: Cross multiply
    129,323.94x = 178,463.73 × 74,868.57
  4. Step 4: Simplify right side
    129,323.94x = 13,361,324,261.97
  5. Step 5: Solve for x
    x = 13,361,324,261.97/129,323.94
  6. Step 6: Final answer
    x = 103,316.71

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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.