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Finding the Fourth Proportional to 74,471.64, 102,794.84 and 47,686.32

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Solution

The fourth proportional to 74,471.64, 102,794.84 and 47,686.32 is: 65,822.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,471.64 : 102,794.84 = 47,686.32 : x
  2. Step 2: Convert to fraction form
    74,471.64/102,794.84 = 47,686.32/x
  3. Step 3: Cross multiply
    74,471.64x = 102,794.84 × 47,686.32
  4. Step 4: Simplify right side
    74,471.64x = 4,901,907,634.59
  5. Step 5: Solve for x
    x = 4,901,907,634.59/74,471.64
  6. Step 6: Final answer
    x = 65,822.47

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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.