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Finding the Fourth Proportional to 57,886.32, 79,813.08 and 48,918

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Solution

The fourth proportional to 57,886.32, 79,813.08 and 48,918 is: 67,447.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,886.32 : 79,813.08 = 48,918 : x
  2. Step 2: Convert to fraction form
    57,886.32/79,813.08 = 48,918/x
  3. Step 3: Cross multiply
    57,886.32x = 79,813.08 × 48,918
  4. Step 4: Simplify right side
    57,886.32x = 3,904,296,247.44
  5. Step 5: Solve for x
    x = 3,904,296,247.44/57,886.32
  6. Step 6: Final answer
    x = 67,447.65

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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.