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Finding the Fourth Proportional to 208,119.84, 287,205.36 and 112,626.54

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Solution

The fourth proportional to 208,119.84, 287,205.36 and 112,626.54 is: 155,424.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,119.84 : 287,205.36 = 112,626.54 : x
  2. Step 2: Convert to fraction form
    208,119.84/287,205.36 = 112,626.54/x
  3. Step 3: Cross multiply
    208,119.84x = 287,205.36 × 112,626.54
  4. Step 4: Simplify right side
    208,119.84x = 32,346,945,966.25
  5. Step 5: Solve for x
    x = 32,346,945,966.25/208,119.84
  6. Step 6: Final answer
    x = 155,424.61

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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.