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Finding the Fourth Proportional to 47,407.96, 71,055.24 and 21,082.96

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Solution

The fourth proportional to 47,407.96, 71,055.24 and 21,082.96 is: 31,599.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,407.96 : 71,055.24 = 21,082.96 : x
  2. Step 2: Convert to fraction form
    47,407.96/71,055.24 = 21,082.96/x
  3. Step 3: Cross multiply
    47,407.96x = 71,055.24 × 21,082.96
  4. Step 4: Simplify right side
    47,407.96x = 1,498,054,782.71
  5. Step 5: Solve for x
    x = 1,498,054,782.71/47,407.96
  6. Step 6: Final answer
    x = 31,599.22

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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.