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Finding the Fourth Proportional to 78,575.64, 108,471.48 and 50,297.74

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Solution

The fourth proportional to 78,575.64, 108,471.48 and 50,297.74 is: 69,434.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,575.64 : 108,471.48 = 50,297.74 : x
  2. Step 2: Convert to fraction form
    78,575.64/108,471.48 = 50,297.74/x
  3. Step 3: Cross multiply
    78,575.64x = 108,471.48 × 50,297.74
  4. Step 4: Simplify right side
    78,575.64x = 5,455,870,298.46
  5. Step 5: Solve for x
    x = 5,455,870,298.46/78,575.64
  6. Step 6: Final answer
    x = 69,434.63

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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.