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Finding the Fourth Proportional to 47,158, 70,745.28 and 19,076.92

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Solution

The fourth proportional to 47,158, 70,745.28 and 19,076.92 is: 28,618.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,158 : 70,745.28 = 19,076.92 : x
  2. Step 2: Convert to fraction form
    47,158/70,745.28 = 19,076.92/x
  3. Step 3: Cross multiply
    47,158x = 70,745.28 × 19,076.92
  4. Step 4: Simplify right side
    47,158x = 1,349,602,046.94
  5. Step 5: Solve for x
    x = 1,349,602,046.94/47,158
  6. Step 6: Final answer
    x = 28,618.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.