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Finding the Fourth Proportional to 136,664, 188,612.74 and 80,075.38

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Solution

The fourth proportional to 136,664, 188,612.74 and 80,075.38 is: 110,513.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,664 : 188,612.74 = 80,075.38 : x
  2. Step 2: Convert to fraction form
    136,664/188,612.74 = 80,075.38/x
  3. Step 3: Cross multiply
    136,664x = 188,612.74 × 80,075.38
  4. Step 4: Simplify right side
    136,664x = 15,103,236,828.34
  5. Step 5: Solve for x
    x = 15,103,236,828.34/136,664
  6. Step 6: Final answer
    x = 110,513.65

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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.