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Finding the Fourth Proportional to 68,631.48, 102,870.72 and 31,135.32

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Solution

The fourth proportional to 68,631.48, 102,870.72 and 31,135.32 is: 46,668.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,631.48 : 102,870.72 = 31,135.32 : x
  2. Step 2: Convert to fraction form
    68,631.48/102,870.72 = 31,135.32/x
  3. Step 3: Cross multiply
    68,631.48x = 102,870.72 × 31,135.32
  4. Step 4: Simplify right side
    68,631.48x = 3,202,912,785.83
  5. Step 5: Solve for x
    x = 3,202,912,785.83/68,631.48
  6. Step 6: Final answer
    x = 46,668.28

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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.