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Finding the Fourth Proportional to 208,657.73, 313,019.16 and 66,534.86

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Solution

The fourth proportional to 208,657.73, 313,019.16 and 66,534.86 is: 99,812.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,657.73 : 313,019.16 = 66,534.86 : x
  2. Step 2: Convert to fraction form
    208,657.73/313,019.16 = 66,534.86/x
  3. Step 3: Cross multiply
    208,657.73x = 313,019.16 × 66,534.86
  4. Step 4: Simplify right side
    208,657.73x = 20,826,684,422.82
  5. Step 5: Solve for x
    x = 20,826,684,422.82/208,657.73
  6. Step 6: Final answer
    x = 99,812.67

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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.