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Finding the Fourth Proportional to 69,870.94, 96,405.50 and 39,649.44

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Solution

The fourth proportional to 69,870.94, 96,405.50 and 39,649.44 is: 54,706.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,870.94 : 96,405.50 = 39,649.44 : x
  2. Step 2: Convert to fraction form
    69,870.94/96,405.50 = 39,649.44/x
  3. Step 3: Cross multiply
    69,870.94x = 96,405.50 × 39,649.44
  4. Step 4: Simplify right side
    69,870.94x = 3,822,424,087.92
  5. Step 5: Solve for x
    x = 3,822,424,087.92/69,870.94
  6. Step 6: Final answer
    x = 54,706.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.