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Finding the Fourth Proportional to 47,345, 71,049.90 and 30,663.56

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Solution

The fourth proportional to 47,345, 71,049.90 and 30,663.56 is: 46,016.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,345 : 71,049.90 = 30,663.56 : x
  2. Step 2: Convert to fraction form
    47,345/71,049.90 = 30,663.56/x
  3. Step 3: Cross multiply
    47,345x = 71,049.90 × 30,663.56
  4. Step 4: Simplify right side
    47,345x = 2,178,642,871.64
  5. Step 5: Solve for x
    x = 2,178,642,871.64/47,345
  6. Step 6: Final answer
    x = 46,016.32

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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.