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Finding the Fourth Proportional to 137,661.90, 206,233.65 and 70,874.70

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Solution

The fourth proportional to 137,661.90, 206,233.65 and 70,874.70 is: 106,178.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,661.90 : 206,233.65 = 70,874.70 : x
  2. Step 2: Convert to fraction form
    137,661.90/206,233.65 = 70,874.70/x
  3. Step 3: Cross multiply
    137,661.90x = 206,233.65 × 70,874.70
  4. Step 4: Simplify right side
    137,661.90x = 14,616,748,073.66
  5. Step 5: Solve for x
    x = 14,616,748,073.66/137,661.90
  6. Step 6: Final answer
    x = 106,178.60

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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.