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Finding the Fourth Proportional to 76,154.64, 105,093.39 and 42,620.64

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Solution

The fourth proportional to 76,154.64, 105,093.39 and 42,620.64 is: 58,816.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,154.64 : 105,093.39 = 42,620.64 : x
  2. Step 2: Convert to fraction form
    76,154.64/105,093.39 = 42,620.64/x
  3. Step 3: Cross multiply
    76,154.64x = 105,093.39 × 42,620.64
  4. Step 4: Simplify right side
    76,154.64x = 4,479,147,541.57
  5. Step 5: Solve for x
    x = 4,479,147,541.57/76,154.64
  6. Step 6: Final answer
    x = 58,816.48

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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.