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Finding the Fourth Proportional to 47,985.50, 71,978.46 and 14,703

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Solution

The fourth proportional to 47,985.50, 71,978.46 and 14,703 is: 22,054.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,985.50 : 71,978.46 = 14,703 : x
  2. Step 2: Convert to fraction form
    47,985.50/71,978.46 = 14,703/x
  3. Step 3: Cross multiply
    47,985.50x = 71,978.46 × 14,703
  4. Step 4: Simplify right side
    47,985.50x = 1,058,299,297.38
  5. Step 5: Solve for x
    x = 1,058,299,297.38/47,985.50
  6. Step 6: Final answer
    x = 22,054.56

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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.