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Finding the Fourth Proportional to 208,406.29, 312,635.93 and 66,200.84

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Solution

The fourth proportional to 208,406.29, 312,635.93 and 66,200.84 is: 99,309.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,406.29 : 312,635.93 = 66,200.84 : x
  2. Step 2: Convert to fraction form
    208,406.29/312,635.93 = 66,200.84/x
  3. Step 3: Cross multiply
    208,406.29x = 312,635.93 × 66,200.84
  4. Step 4: Simplify right side
    208,406.29x = 20,696,759,782.50
  5. Step 5: Solve for x
    x = 20,696,759,782.50/208,406.29
  6. Step 6: Final answer
    x = 99,309.67

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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.