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Finding the Fourth Proportional to 75,804, 104,611.68 and 42,272.16

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Solution

The fourth proportional to 75,804, 104,611.68 and 42,272.16 is: 58,336.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,804 : 104,611.68 = 42,272.16 : x
  2. Step 2: Convert to fraction form
    75,804/104,611.68 = 42,272.16/x
  3. Step 3: Cross multiply
    75,804x = 104,611.68 × 42,272.16
  4. Step 4: Simplify right side
    75,804x = 4,422,161,674.83
  5. Step 5: Solve for x
    x = 4,422,161,674.83/75,804
  6. Step 6: Final answer
    x = 58,336.79

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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.