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Finding the Fourth Proportional to 76,205.28, 105,163.12 and 42,671.28

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Solution

The fourth proportional to 76,205.28, 105,163.12 and 42,671.28 is: 58,886.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,205.28 : 105,163.12 = 42,671.28 : x
  2. Step 2: Convert to fraction form
    76,205.28/105,163.12 = 42,671.28/x
  3. Step 3: Cross multiply
    76,205.28x = 105,163.12 × 42,671.28
  4. Step 4: Simplify right side
    76,205.28x = 4,487,444,939.19
  5. Step 5: Solve for x
    x = 4,487,444,939.19/76,205.28
  6. Step 6: Final answer
    x = 58,886.27

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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.