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Finding the Fourth Proportional to 75,415, 104,081.88 and 43,584.16

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Solution

The fourth proportional to 75,415, 104,081.88 and 43,584.16 is: 60,151.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,415 : 104,081.88 = 43,584.16 : x
  2. Step 2: Convert to fraction form
    75,415/104,081.88 = 43,584.16/x
  3. Step 3: Cross multiply
    75,415x = 104,081.88 × 43,584.16
  4. Step 4: Simplify right side
    75,415x = 4,536,321,311.02
  5. Step 5: Solve for x
    x = 4,536,321,311.02/75,415
  6. Step 6: Final answer
    x = 60,151.45

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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.