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Finding the Fourth Proportional to 137,705.85, 206,392.68 and 71,109.68

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Solution

The fourth proportional to 137,705.85, 206,392.68 and 71,109.68 is: 106,578.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,705.85 : 206,392.68 = 71,109.68 : x
  2. Step 2: Convert to fraction form
    137,705.85/206,392.68 = 71,109.68/x
  3. Step 3: Cross multiply
    137,705.85x = 206,392.68 × 71,109.68
  4. Step 4: Simplify right side
    137,705.85x = 14,676,516,397.18
  5. Step 5: Solve for x
    x = 14,676,516,397.18/137,705.85
  6. Step 6: Final answer
    x = 106,578.74

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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.