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Finding the Fourth Proportional to 74,154.72, 102,343.92 and 47,288.64

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Solution

The fourth proportional to 74,154.72, 102,343.92 and 47,288.64 is: 65,264.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,154.72 : 102,343.92 = 47,288.64 : x
  2. Step 2: Convert to fraction form
    74,154.72/102,343.92 = 47,288.64/x
  3. Step 3: Cross multiply
    74,154.72x = 102,343.92 × 47,288.64
  4. Step 4: Simplify right side
    74,154.72x = 4,839,704,789.07
  5. Step 5: Solve for x
    x = 4,839,704,789.07/74,154.72
  6. Step 6: Final answer
    x = 65,264.96

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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.