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Finding the Fourth Proportional to 47,793.89, 71,678.53 and 19,721.93

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Solution

The fourth proportional to 47,793.89, 71,678.53 and 19,721.93 is: 29,577.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,793.89 : 71,678.53 = 19,721.93 : x
  2. Step 2: Convert to fraction form
    47,793.89/71,678.53 = 19,721.93/x
  3. Step 3: Cross multiply
    47,793.89x = 71,678.53 × 19,721.93
  4. Step 4: Simplify right side
    47,793.89x = 1,413,638,617.42
  5. Step 5: Solve for x
    x = 1,413,638,617.42/47,793.89
  6. Step 6: Final answer
    x = 29,577.81

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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.