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Finding the Fourth Proportional to 208,110.69, 312,330.06 and 106,904.61

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Solution

The fourth proportional to 208,110.69, 312,330.06 and 106,904.61 is: 160,441.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,110.69 : 312,330.06 = 106,904.61 : x
  2. Step 2: Convert to fraction form
    208,110.69/312,330.06 = 106,904.61/x
  3. Step 3: Cross multiply
    208,110.69x = 312,330.06 × 106,904.61
  4. Step 4: Simplify right side
    208,110.69x = 33,389,523,255.58
  5. Step 5: Solve for x
    x = 33,389,523,255.58/208,110.69
  6. Step 6: Final answer
    x = 160,441.17

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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.