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Finding the Fourth Proportional to 47,501.54, 71,212.07 and 20,827.31

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Solution

The fourth proportional to 47,501.54, 71,212.07 and 20,827.31 is: 31,223.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,501.54 : 71,212.07 = 20,827.31 : x
  2. Step 2: Convert to fraction form
    47,501.54/71,212.07 = 20,827.31/x
  3. Step 3: Cross multiply
    47,501.54x = 71,212.07 × 20,827.31
  4. Step 4: Simplify right side
    47,501.54x = 1,483,155,753.50
  5. Step 5: Solve for x
    x = 1,483,155,753.50/47,501.54
  6. Step 6: Final answer
    x = 31,223.32

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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.