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Finding the Fourth Proportional to 203,907.08, 305,765.58 and 77,570.84

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Solution

The fourth proportional to 203,907.08, 305,765.58 and 77,570.84 is: 116,320.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,907.08 : 305,765.58 = 77,570.84 : x
  2. Step 2: Convert to fraction form
    203,907.08/305,765.58 = 77,570.84/x
  3. Step 3: Cross multiply
    203,907.08x = 305,765.58 × 77,570.84
  4. Step 4: Simplify right side
    203,907.08x = 23,718,492,883.69
  5. Step 5: Solve for x
    x = 23,718,492,883.69/203,907.08
  6. Step 6: Final answer
    x = 116,320.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.