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Finding the Fourth Proportional to 208,885.23, 313,378.74 and 66,730.37

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Solution

The fourth proportional to 208,885.23, 313,378.74 and 66,730.37 is: 100,111.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,885.23 : 313,378.74 = 66,730.37 : x
  2. Step 2: Convert to fraction form
    208,885.23/313,378.74 = 66,730.37/x
  3. Step 3: Cross multiply
    208,885.23x = 313,378.74 × 66,730.37
  4. Step 4: Simplify right side
    208,885.23x = 20,911,877,703.44
  5. Step 5: Solve for x
    x = 20,911,877,703.44/208,885.23
  6. Step 6: Final answer
    x = 100,111.81

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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.