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Finding the Fourth Proportional to 139,470.76, 209,172.30 and 97,724.44

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Solution

The fourth proportional to 139,470.76, 209,172.30 and 97,724.44 is: 146,562.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,470.76 : 209,172.30 = 97,724.44 : x
  2. Step 2: Convert to fraction form
    139,470.76/209,172.30 = 97,724.44/x
  3. Step 3: Cross multiply
    139,470.76x = 209,172.30 × 97,724.44
  4. Step 4: Simplify right side
    139,470.76x = 20,441,245,881.01
  5. Step 5: Solve for x
    x = 20,441,245,881.01/139,470.76
  6. Step 6: Final answer
    x = 146,562.95

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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.