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Finding the Fourth Proportional to 286,075.72, 394,788.90 and 158,756.68

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Solution

The fourth proportional to 286,075.72, 394,788.90 and 158,756.68 is: 219,086.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,075.72 : 394,788.90 = 158,756.68 : x
  2. Step 2: Convert to fraction form
    286,075.72/394,788.90 = 158,756.68/x
  3. Step 3: Cross multiply
    286,075.72x = 394,788.90 × 158,756.68
  4. Step 4: Simplify right side
    286,075.72x = 62,675,375,064.85
  5. Step 5: Solve for x
    x = 62,675,375,064.85/286,075.72
  6. Step 6: Final answer
    x = 219,086.66

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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.