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Finding the Fourth Proportional to 208,134, 287,224.38 and 112,640.67

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Solution

The fourth proportional to 208,134, 287,224.38 and 112,640.67 is: 155,443.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,134 : 287,224.38 = 112,640.67 : x
  2. Step 2: Convert to fraction form
    208,134/287,224.38 = 112,640.67/x
  3. Step 3: Cross multiply
    208,134x = 287,224.38 × 112,640.67
  4. Step 4: Simplify right side
    208,134x = 32,353,146,603.53
  5. Step 5: Solve for x
    x = 32,353,146,603.53/208,134
  6. Step 6: Final answer
    x = 155,443.83

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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.