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Finding the Fourth Proportional to 139,405.98, 209,113.07 and 34,224.95

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Solution

The fourth proportional to 139,405.98, 209,113.07 and 34,224.95 is: 51,338.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,405.98 : 209,113.07 = 34,224.95 : x
  2. Step 2: Convert to fraction form
    139,405.98/209,113.07 = 34,224.95/x
  3. Step 3: Cross multiply
    139,405.98x = 209,113.07 × 34,224.95
  4. Step 4: Simplify right side
    139,405.98x = 7,156,883,148.41
  5. Step 5: Solve for x
    x = 7,156,883,148.41/139,405.98
  6. Step 6: Final answer
    x = 51,338.42

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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.