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Finding the Fourth Proportional to 200,666, 276,962.28 and 120,111.50

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Solution

The fourth proportional to 200,666, 276,962.28 and 120,111.50 is: 165,779.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,666 : 276,962.28 = 120,111.50 : x
  2. Step 2: Convert to fraction form
    200,666/276,962.28 = 120,111.50/x
  3. Step 3: Cross multiply
    200,666x = 276,962.28 × 120,111.50
  4. Step 4: Simplify right side
    200,666x = 33,266,354,894.22
  5. Step 5: Solve for x
    x = 33,266,354,894.22/200,666
  6. Step 6: Final answer
    x = 165,779.73

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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.