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Finding the Fourth Proportional to 140,647.92, 210,974.04 and 45,877.68

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Solution

The fourth proportional to 140,647.92, 210,974.04 and 45,877.68 is: 68,817.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,647.92 : 210,974.04 = 45,877.68 : x
  2. Step 2: Convert to fraction form
    140,647.92/210,974.04 = 45,877.68/x
  3. Step 3: Cross multiply
    140,647.92x = 210,974.04 × 45,877.68
  4. Step 4: Simplify right side
    140,647.92x = 9,678,999,495.43
  5. Step 5: Solve for x
    x = 9,678,999,495.43/140,647.92
  6. Step 6: Final answer
    x = 68,817.22

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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.