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Finding the Fourth Proportional to 208,620.74, 312,927.86 and 83,958.50

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Solution

The fourth proportional to 208,620.74, 312,927.86 and 83,958.50 is: 125,936.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,620.74 : 312,927.86 = 83,958.50 : x
  2. Step 2: Convert to fraction form
    208,620.74/312,927.86 = 83,958.50/x
  3. Step 3: Cross multiply
    208,620.74x = 312,927.86 × 83,958.50
  4. Step 4: Simplify right side
    208,620.74x = 26,272,953,733.81
  5. Step 5: Solve for x
    x = 26,272,953,733.81/208,620.74
  6. Step 6: Final answer
    x = 125,936.44

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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.