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Finding the Fourth Proportional to 179,765, 248,075.70 and 100,277

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Solution

The fourth proportional to 179,765, 248,075.70 and 100,277 is: 138,382.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,765 : 248,075.70 = 100,277 : x
  2. Step 2: Convert to fraction form
    179,765/248,075.70 = 100,277/x
  3. Step 3: Cross multiply
    179,765x = 248,075.70 × 100,277
  4. Step 4: Simplify right side
    179,765x = 24,876,286,968.90
  5. Step 5: Solve for x
    x = 24,876,286,968.90/179,765
  6. Step 6: Final answer
    x = 138,382.26

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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.