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Finding the Fourth Proportional to 69,145.84, 103,713.90 and 39,470.68

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Solution

The fourth proportional to 69,145.84, 103,713.90 and 39,470.68 is: 59,203.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,145.84 : 103,713.90 = 39,470.68 : x
  2. Step 2: Convert to fraction form
    69,145.84/103,713.90 = 39,470.68/x
  3. Step 3: Cross multiply
    69,145.84x = 103,713.90 × 39,470.68
  4. Step 4: Simplify right side
    69,145.84x = 4,093,658,158.45
  5. Step 5: Solve for x
    x = 4,093,658,158.45/69,145.84
  6. Step 6: Final answer
    x = 59,203.25

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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.