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Finding the Fourth Proportional to 78,285.78, 108,032.99 and 47,647.79

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Solution

The fourth proportional to 78,285.78, 108,032.99 and 47,647.79 is: 65,753.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,285.78 : 108,032.99 = 47,647.79 : x
  2. Step 2: Convert to fraction form
    78,285.78/108,032.99 = 47,647.79/x
  3. Step 3: Cross multiply
    78,285.78x = 108,032.99 × 47,647.79
  4. Step 4: Simplify right side
    78,285.78x = 5,147,532,982.35
  5. Step 5: Solve for x
    x = 5,147,532,982.35/78,285.78
  6. Step 6: Final answer
    x = 65,753.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.