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Finding the Fourth Proportional to 200,421, 276,572.88 and 119,893.03

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Solution

The fourth proportional to 200,421, 276,572.88 and 119,893.03 is: 165,447.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,421 : 276,572.88 = 119,893.03 : x
  2. Step 2: Convert to fraction form
    200,421/276,572.88 = 119,893.03/x
  3. Step 3: Cross multiply
    200,421x = 276,572.88 × 119,893.03
  4. Step 4: Simplify right side
    200,421x = 33,159,159,907.59
  5. Step 5: Solve for x
    x = 33,159,159,907.59/200,421
  6. Step 6: Final answer
    x = 165,447.53

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1.5x scale

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.