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Finding the Fourth Proportional to 69,532.16, 103,678.72 and 68,288

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Solution

The fourth proportional to 69,532.16, 103,678.72 and 68,288 is: 101,823.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,532.16 : 103,678.72 = 68,288 : x
  2. Step 2: Convert to fraction form
    69,532.16/103,678.72 = 68,288/x
  3. Step 3: Cross multiply
    69,532.16x = 103,678.72 × 68,288
  4. Step 4: Simplify right side
    69,532.16x = 7,080,012,431.36
  5. Step 5: Solve for x
    x = 7,080,012,431.36/69,532.16
  6. Step 6: Final answer
    x = 101,823.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.