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Finding the Fourth Proportional to 68,606.10, 102,865.23 and 31,127.22

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Solution

The fourth proportional to 68,606.10, 102,865.23 and 31,127.22 is: 46,670.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,606.10 : 102,865.23 = 31,127.22 : x
  2. Step 2: Convert to fraction form
    68,606.10/102,865.23 = 31,127.22/x
  3. Step 3: Cross multiply
    68,606.10x = 102,865.23 × 31,127.22
  4. Step 4: Simplify right side
    68,606.10x = 3,201,908,644.56
  5. Step 5: Solve for x
    x = 3,201,908,644.56/68,606.10
  6. Step 6: Final answer
    x = 46,670.90

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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.