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Finding the Fourth Proportional to 149,689.64, 206,571.65 and 102,026.22

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Solution

The fourth proportional to 149,689.64, 206,571.65 and 102,026.22 is: 140,796.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,689.64 : 206,571.65 = 102,026.22 : x
  2. Step 2: Convert to fraction form
    149,689.64/206,571.65 = 102,026.22/x
  3. Step 3: Cross multiply
    149,689.64x = 206,571.65 × 102,026.22
  4. Step 4: Simplify right side
    149,689.64x = 21,075,724,608.66
  5. Step 5: Solve for x
    x = 21,075,724,608.66/149,689.64
  6. Step 6: Final answer
    x = 140,796.15

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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.