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Finding the Fourth Proportional to 138,804, 208,211.76 and 40,308

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Solution

The fourth proportional to 138,804, 208,211.76 and 40,308 is: 60,463.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,804 : 208,211.76 = 40,308 : x
  2. Step 2: Convert to fraction form
    138,804/208,211.76 = 40,308/x
  3. Step 3: Cross multiply
    138,804x = 208,211.76 × 40,308
  4. Step 4: Simplify right side
    138,804x = 8,392,599,622.08
  5. Step 5: Solve for x
    x = 8,392,599,622.08/138,804
  6. Step 6: Final answer
    x = 60,463.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.