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Finding the Fourth Proportional to 139,795.85, 209,486.41 and 102,678.41

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Solution

The fourth proportional to 139,795.85, 209,486.41 and 102,678.41 is: 153,865.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,795.85 : 209,486.41 = 102,678.41 : x
  2. Step 2: Convert to fraction form
    139,795.85/209,486.41 = 102,678.41/x
  3. Step 3: Cross multiply
    139,795.85x = 209,486.41 × 102,678.41
  4. Step 4: Simplify right side
    139,795.85x = 21,509,731,495.41
  5. Step 5: Solve for x
    x = 21,509,731,495.41/139,795.85
  6. Step 6: Final answer
    x = 153,865.31

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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.