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Finding the Fourth Proportional to 140,646, 210,969 and 42,150

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Solution

The fourth proportional to 140,646, 210,969 and 42,150 is: 63,225

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,646 : 210,969 = 42,150 : x
  2. Step 2: Convert to fraction form
    140,646/210,969 = 42,150/x
  3. Step 3: Cross multiply
    140,646x = 210,969 × 42,150
  4. Step 4: Simplify right side
    140,646x = 8,892,343,350
  5. Step 5: Solve for x
    x = 8,892,343,350/140,646
  6. Step 6: Final answer
    x = 63,225

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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.