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Finding the Fourth Proportional to 102,128.31, 140,838.09 and 68,138.16

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Solution

The fourth proportional to 102,128.31, 140,838.09 and 68,138.16 is: 93,964.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,128.31 : 140,838.09 = 68,138.16 : x
  2. Step 2: Convert to fraction form
    102,128.31/140,838.09 = 68,138.16/x
  3. Step 3: Cross multiply
    102,128.31x = 140,838.09 × 68,138.16
  4. Step 4: Simplify right side
    102,128.31x = 9,596,448,310.51
  5. Step 5: Solve for x
    x = 9,596,448,310.51/102,128.31
  6. Step 6: Final answer
    x = 93,964.62

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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.