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Finding the Fourth Proportional to 149,884.68, 206,838.36 and 81,900.16

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Solution

The fourth proportional to 149,884.68, 206,838.36 and 81,900.16 is: 113,020.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,884.68 : 206,838.36 = 81,900.16 : x
  2. Step 2: Convert to fraction form
    149,884.68/206,838.36 = 81,900.16/x
  3. Step 3: Cross multiply
    149,884.68x = 206,838.36 × 81,900.16
  4. Step 4: Simplify right side
    149,884.68x = 16,940,095,424.51
  5. Step 5: Solve for x
    x = 16,940,095,424.51/149,884.68
  6. Step 6: Final answer
    x = 113,020.86

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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.