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Finding the Fourth Proportional to 153,111.56, 211,287.38 and 85,128.44

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Solution

The fourth proportional to 153,111.56, 211,287.38 and 85,128.44 is: 117,473.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,111.56 : 211,287.38 = 85,128.44 : x
  2. Step 2: Convert to fraction form
    153,111.56/211,287.38 = 85,128.44/x
  3. Step 3: Cross multiply
    153,111.56x = 211,287.38 × 85,128.44
  4. Step 4: Simplify right side
    153,111.56x = 17,986,565,051.09
  5. Step 5: Solve for x
    x = 17,986,565,051.09/153,111.56
  6. Step 6: Final answer
    x = 117,473.59

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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.