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Finding the Fourth Proportional to 140,658, 210,987 and 42,162

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Solution

The fourth proportional to 140,658, 210,987 and 42,162 is: 63,243

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,658 : 210,987 = 42,162 : x
  2. Step 2: Convert to fraction form
    140,658/210,987 = 42,162/x
  3. Step 3: Cross multiply
    140,658x = 210,987 × 42,162
  4. Step 4: Simplify right side
    140,658x = 8,895,633,894
  5. Step 5: Solve for x
    x = 8,895,633,894/140,658
  6. Step 6: Final answer
    x = 63,243

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.