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Finding the Fourth Proportional to 208,137, 287,228.52 and 112,643.67

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Solution

The fourth proportional to 208,137, 287,228.52 and 112,643.67 is: 155,447.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,137 : 287,228.52 = 112,643.67 : x
  2. Step 2: Convert to fraction form
    208,137/287,228.52 = 112,643.67/x
  3. Step 3: Cross multiply
    208,137x = 287,228.52 × 112,643.67
  4. Step 4: Simplify right side
    208,137x = 32,354,474,621.47
  5. Step 5: Solve for x
    x = 32,354,474,621.47/208,137
  6. Step 6: Final answer
    x = 155,447.97

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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.