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Finding the Fourth Proportional to 137,642.90, 206,205.15 and 70,855.70

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Solution

The fourth proportional to 137,642.90, 206,205.15 and 70,855.70 is: 106,150.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,642.90 : 206,205.15 = 70,855.70 : x
  2. Step 2: Convert to fraction form
    137,642.90/206,205.15 = 70,855.70/x
  3. Step 3: Cross multiply
    137,642.90x = 206,205.15 × 70,855.70
  4. Step 4: Simplify right side
    137,642.90x = 14,610,810,246.86
  5. Step 5: Solve for x
    x = 14,610,810,246.86/137,642.90
  6. Step 6: Final answer
    x = 106,150.12

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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.