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Finding the Fourth Proportional to 208,087.68, 287,139.02 and 120,855.75

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Solution

The fourth proportional to 208,087.68, 287,139.02 and 120,855.75 is: 166,768.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,087.68 : 287,139.02 = 120,855.75 : x
  2. Step 2: Convert to fraction form
    208,087.68/287,139.02 = 120,855.75/x
  3. Step 3: Cross multiply
    208,087.68x = 287,139.02 × 120,855.75
  4. Step 4: Simplify right side
    208,087.68x = 34,702,401,012.09
  5. Step 5: Solve for x
    x = 34,702,401,012.09/208,087.68
  6. Step 6: Final answer
    x = 166,768.17

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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.