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Finding the Fourth Proportional to 208,083, 312,206.58 and 108,180.60

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Solution

The fourth proportional to 208,083, 312,206.58 and 108,180.60 is: 162,313.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,083 : 312,206.58 = 108,180.60 : x
  2. Step 2: Convert to fraction form
    208,083/312,206.58 = 108,180.60/x
  3. Step 3: Cross multiply
    208,083x = 312,206.58 × 108,180.60
  4. Step 4: Simplify right side
    208,083x = 33,774,695,148.35
  5. Step 5: Solve for x
    x = 33,774,695,148.35/208,083
  6. Step 6: Final answer
    x = 162,313.57

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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.