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Finding the Fourth Proportional to 74,455.78, 102,772.92 and 47,670.43

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Solution

The fourth proportional to 74,455.78, 102,772.92 and 47,670.43 is: 65,800.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,455.78 : 102,772.92 = 47,670.43 : x
  2. Step 2: Convert to fraction form
    74,455.78/102,772.92 = 47,670.43/x
  3. Step 3: Cross multiply
    74,455.78x = 102,772.92 × 47,670.43
  4. Step 4: Simplify right side
    74,455.78x = 4,899,229,288.76
  5. Step 5: Solve for x
    x = 4,899,229,288.76/74,455.78
  6. Step 6: Final answer
    x = 65,800.52

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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.