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Finding the Fourth Proportional to 137,243.43, 205,834.05 and 69,706.98

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Solution

The fourth proportional to 137,243.43, 205,834.05 and 69,706.98 is: 104,544.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,243.43 : 205,834.05 = 69,706.98 : x
  2. Step 2: Convert to fraction form
    137,243.43/205,834.05 = 69,706.98/x
  3. Step 3: Cross multiply
    137,243.43x = 205,834.05 × 69,706.98
  4. Step 4: Simplify right side
    137,243.43x = 14,348,070,006.67
  5. Step 5: Solve for x
    x = 14,348,070,006.67/137,243.43
  6. Step 6: Final answer
    x = 104,544.68

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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.