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Finding the Fourth Proportional to 47,108.25, 70,694.78 and 19,406.25

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Solution

The fourth proportional to 47,108.25, 70,694.78 and 19,406.25 is: 29,122.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,108.25 : 70,694.78 = 19,406.25 : x
  2. Step 2: Convert to fraction form
    47,108.25/70,694.78 = 19,406.25/x
  3. Step 3: Cross multiply
    47,108.25x = 70,694.78 × 19,406.25
  4. Step 4: Simplify right side
    47,108.25x = 1,371,920,477.34
  5. Step 5: Solve for x
    x = 1,371,920,477.34/47,108.25
  6. Step 6: Final answer
    x = 29,122.72

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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.