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Finding the Fourth Proportional to 208,946.55, 313,303.19 and 68,693.43

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Solution

The fourth proportional to 208,946.55, 313,303.19 and 68,693.43 is: 103,001.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,946.55 : 313,303.19 = 68,693.43 : x
  2. Step 2: Convert to fraction form
    208,946.55/313,303.19 = 68,693.43/x
  3. Step 3: Cross multiply
    208,946.55x = 313,303.19 × 68,693.43
  4. Step 4: Simplify right side
    208,946.55x = 21,521,870,407.57
  5. Step 5: Solve for x
    x = 21,521,870,407.57/208,946.55
  6. Step 6: Final answer
    x = 103,001.80

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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.