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Finding the Fourth Proportional to 74,115.32, 102,295.02 and 47,251.64

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Solution

The fourth proportional to 74,115.32, 102,295.02 and 47,251.64 is: 65,217.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,115.32 : 102,295.02 = 47,251.64 : x
  2. Step 2: Convert to fraction form
    74,115.32/102,295.02 = 47,251.64/x
  3. Step 3: Cross multiply
    74,115.32x = 102,295.02 × 47,251.64
  4. Step 4: Simplify right side
    74,115.32x = 4,833,607,458.83
  5. Step 5: Solve for x
    x = 4,833,607,458.83/74,115.32
  6. Step 6: Final answer
    x = 65,217.39

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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.