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Finding the Fourth Proportional to 75,657.30, 104,407.38 and 43,393.16

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Solution

The fourth proportional to 75,657.30, 104,407.38 and 43,393.16 is: 59,882.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,657.30 : 104,407.38 = 43,393.16 : x
  2. Step 2: Convert to fraction form
    75,657.30/104,407.38 = 43,393.16/x
  3. Step 3: Cross multiply
    75,657.30x = 104,407.38 × 43,393.16
  4. Step 4: Simplify right side
    75,657.30x = 4,530,566,145.52
  5. Step 5: Solve for x
    x = 4,530,566,145.52/75,657.30
  6. Step 6: Final answer
    x = 59,882.74

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