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Finding the Fourth Proportional to 106,497.36, 146,939.94 and 70,194.78

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Solution

The fourth proportional to 106,497.36, 146,939.94 and 70,194.78 is: 96,851.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,497.36 : 146,939.94 = 70,194.78 : x
  2. Step 2: Convert to fraction form
    106,497.36/146,939.94 = 70,194.78/x
  3. Step 3: Cross multiply
    106,497.36x = 146,939.94 × 70,194.78
  4. Step 4: Simplify right side
    106,497.36x = 10,314,416,761.51
  5. Step 5: Solve for x
    x = 10,314,416,761.51/106,497.36
  6. Step 6: Final answer
    x = 96,851.38

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1.5x scale

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.