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Finding the Fourth Proportional to 137,706.42, 206,393.49 and 71,110.23

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Solution

The fourth proportional to 137,706.42, 206,393.49 and 71,110.23 is: 106,579.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,706.42 : 206,393.49 = 71,110.23 : x
  2. Step 2: Convert to fraction form
    137,706.42/206,393.49 = 71,110.23/x
  3. Step 3: Cross multiply
    137,706.42x = 206,393.49 × 71,110.23
  4. Step 4: Simplify right side
    137,706.42x = 14,676,688,544.40
  5. Step 5: Solve for x
    x = 14,676,688,544.40/137,706.42
  6. Step 6: Final answer
    x = 106,579.55

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1.5x scale

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.