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Finding the Fourth Proportional to 153,118.56, 211,297.04 and 85,135.44

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Solution

The fourth proportional to 153,118.56, 211,297.04 and 85,135.44 is: 117,483.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,118.56 : 211,297.04 = 85,135.44 : x
  2. Step 2: Convert to fraction form
    153,118.56/211,297.04 = 85,135.44/x
  3. Step 3: Cross multiply
    153,118.56x = 211,297.04 × 85,135.44
  4. Step 4: Simplify right side
    153,118.56x = 17,988,866,471.10
  5. Step 5: Solve for x
    x = 17,988,866,471.10/153,118.56
  6. Step 6: Final answer
    x = 117,483.25

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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.