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Finding the Fourth Proportional to 74,644.74, 102,964.50 and 47,777.76

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Solution

The fourth proportional to 74,644.74, 102,964.50 and 47,777.76 is: 65,904.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,644.74 : 102,964.50 = 47,777.76 : x
  2. Step 2: Convert to fraction form
    74,644.74/102,964.50 = 47,777.76/x
  3. Step 3: Cross multiply
    74,644.74x = 102,964.50 × 47,777.76
  4. Step 4: Simplify right side
    74,644.74x = 4,919,413,169.52
  5. Step 5: Solve for x
    x = 4,919,413,169.52/74,644.74
  6. Step 6: Final answer
    x = 65,904.35

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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.