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Finding the Fourth Proportional to 68,466.40, 102,782.80 and 43,506.40

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Solution

The fourth proportional to 68,466.40, 102,782.80 and 43,506.40 is: 65,312.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,466.40 : 102,782.80 = 43,506.40 : x
  2. Step 2: Convert to fraction form
    68,466.40/102,782.80 = 43,506.40/x
  3. Step 3: Cross multiply
    68,466.40x = 102,782.80 × 43,506.40
  4. Step 4: Simplify right side
    68,466.40x = 4,471,709,609.92
  5. Step 5: Solve for x
    x = 4,471,709,609.92/68,466.40
  6. Step 6: Final answer
    x = 65,312.47

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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.