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Finding the Fourth Proportional to 208,216.84, 312,383.58 and 83,645.32

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Solution

The fourth proportional to 208,216.84, 312,383.58 and 83,645.32 is: 125,491.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,216.84 : 312,383.58 = 83,645.32 : x
  2. Step 2: Convert to fraction form
    208,216.84/312,383.58 = 83,645.32/x
  3. Step 3: Cross multiply
    208,216.84x = 312,383.58 × 83,645.32
  4. Step 4: Simplify right side
    208,216.84x = 26,129,424,511.85
  5. Step 5: Solve for x
    x = 26,129,424,511.85/208,216.84
  6. Step 6: Final answer
    x = 125,491.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.