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Finding the Fourth Proportional to 208,012.77, 287,036.46 and 120,767.67

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Solution

The fourth proportional to 208,012.77, 287,036.46 and 120,767.67 is: 166,647.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,012.77 : 287,036.46 = 120,767.67 : x
  2. Step 2: Convert to fraction form
    208,012.77/287,036.46 = 120,767.67/x
  3. Step 3: Cross multiply
    208,012.77x = 287,036.46 × 120,767.67
  4. Step 4: Simplify right side
    208,012.77x = 34,664,724,479.25
  5. Step 5: Solve for x
    x = 34,664,724,479.25/208,012.77
  6. Step 6: Final answer
    x = 166,647.10

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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.