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Finding the Fourth Proportional to 208,152, 287,249.22 and 112,658.67

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Solution

The fourth proportional to 208,152, 287,249.22 and 112,658.67 is: 155,468.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,152 : 287,249.22 = 112,658.67 : x
  2. Step 2: Convert to fraction form
    208,152/287,249.22 = 112,658.67/x
  3. Step 3: Cross multiply
    208,152x = 287,249.22 × 112,658.67
  4. Step 4: Simplify right side
    208,152x = 32,361,115,083.74
  5. Step 5: Solve for x
    x = 32,361,115,083.74/208,152
  6. Step 6: Final answer
    x = 155,468.67

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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.