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Finding the Fourth Proportional to 208,920.20, 313,430.70 and 68,671.40

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Solution

The fourth proportional to 208,920.20, 313,430.70 and 68,671.40 is: 103,023.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,920.20 : 313,430.70 = 68,671.40 : x
  2. Step 2: Convert to fraction form
    208,920.20/313,430.70 = 68,671.40/x
  3. Step 3: Cross multiply
    208,920.20x = 313,430.70 × 68,671.40
  4. Step 4: Simplify right side
    208,920.20x = 21,523,724,971.98
  5. Step 5: Solve for x
    x = 21,523,724,971.98/208,920.20
  6. Step 6: Final answer
    x = 103,023.67

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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.