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Finding the Fourth Proportional to 101,145.42, 151,643.25 and 48,504.78

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Solution

The fourth proportional to 101,145.42, 151,643.25 and 48,504.78 is: 72,721.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,145.42 : 151,643.25 = 48,504.78 : x
  2. Step 2: Convert to fraction form
    101,145.42/151,643.25 = 48,504.78/x
  3. Step 3: Cross multiply
    101,145.42x = 151,643.25 × 48,504.78
  4. Step 4: Simplify right side
    101,145.42x = 7,355,422,479.74
  5. Step 5: Solve for x
    x = 7,355,422,479.74/101,145.42
  6. Step 6: Final answer
    x = 72,721.26

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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.