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Finding the Fourth Proportional to 208,189.98, 312,187.41 and 75,052.62

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Solution

The fourth proportional to 208,189.98, 312,187.41 and 75,052.62 is: 112,543.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,189.98 : 312,187.41 = 75,052.62 : x
  2. Step 2: Convert to fraction form
    208,189.98/312,187.41 = 75,052.62/x
  3. Step 3: Cross multiply
    208,189.98x = 312,187.41 × 75,052.62
  4. Step 4: Simplify right side
    208,189.98x = 23,430,483,051.51
  5. Step 5: Solve for x
    x = 23,430,483,051.51/208,189.98
  6. Step 6: Final answer
    x = 112,543.76

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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.