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Finding the Fourth Proportional to 208,317.76, 312,477.06 and 75,291.96

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Solution

The fourth proportional to 208,317.76, 312,477.06 and 75,291.96 is: 112,938.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,317.76 : 312,477.06 = 75,291.96 : x
  2. Step 2: Convert to fraction form
    208,317.76/312,477.06 = 75,291.96/x
  3. Step 3: Cross multiply
    208,317.76x = 312,477.06 × 75,291.96
  4. Step 4: Simplify right side
    208,317.76x = 23,527,010,302.44
  5. Step 5: Solve for x
    x = 23,527,010,302.44/208,317.76
  6. Step 6: Final answer
    x = 112,938.09

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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.