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Finding the Fourth Proportional to 129,710.94, 178,993.39 and 75,258.89

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Solution

The fourth proportional to 129,710.94, 178,993.39 and 75,258.89 is: 103,852.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,710.94 : 178,993.39 = 75,258.89 : x
  2. Step 2: Convert to fraction form
    129,710.94/178,993.39 = 75,258.89/x
  3. Step 3: Cross multiply
    129,710.94x = 178,993.39 × 75,258.89
  4. Step 4: Simplify right side
    129,710.94x = 13,470,844,725.91
  5. Step 5: Solve for x
    x = 13,470,844,725.91/129,710.94
  6. Step 6: Final answer
    x = 103,852.80

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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.