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Finding the Fourth Proportional to 69,964, 104,963.76 and 20,716

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Solution

The fourth proportional to 69,964, 104,963.76 and 20,716 is: 31,079.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,964 : 104,963.76 = 20,716 : x
  2. Step 2: Convert to fraction form
    69,964/104,963.76 = 20,716/x
  3. Step 3: Cross multiply
    69,964x = 104,963.76 × 20,716
  4. Step 4: Simplify right side
    69,964x = 2,174,429,252.16
  5. Step 5: Solve for x
    x = 2,174,429,252.16/69,964
  6. Step 6: Final answer
    x = 31,079.26

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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.