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Finding the Fourth Proportional to 211,297.98, 316,961.55 and 78,175.29

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Solution

The fourth proportional to 211,297.98, 316,961.55 and 78,175.29 is: 117,268.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,297.98 : 316,961.55 = 78,175.29 : x
  2. Step 2: Convert to fraction form
    211,297.98/316,961.55 = 78,175.29/x
  3. Step 3: Cross multiply
    211,297.98x = 316,961.55 × 78,175.29
  4. Step 4: Simplify right side
    211,297.98x = 24,778,561,090.10
  5. Step 5: Solve for x
    x = 24,778,561,090.10/211,297.98
  6. Step 6: Final answer
    x = 117,268.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.