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Finding the Fourth Proportional to 137,409.82, 206,113.07 and 77,442.82

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Solution

The fourth proportional to 137,409.82, 206,113.07 and 77,442.82 is: 116,163.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,409.82 : 206,113.07 = 77,442.82 : x
  2. Step 2: Convert to fraction form
    137,409.82/206,113.07 = 77,442.82/x
  3. Step 3: Cross multiply
    137,409.82x = 206,113.07 × 77,442.82
  4. Step 4: Simplify right side
    137,409.82x = 15,961,977,379.66
  5. Step 5: Solve for x
    x = 15,961,977,379.66/137,409.82
  6. Step 6: Final answer
    x = 116,163.29

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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.