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Finding the Fourth Proportional to 153,112.56, 211,288.76 and 85,129.44

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Solution

The fourth proportional to 153,112.56, 211,288.76 and 85,129.44 is: 117,474.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,112.56 : 211,288.76 = 85,129.44 : x
  2. Step 2: Convert to fraction form
    153,112.56/211,288.76 = 85,129.44/x
  3. Step 3: Cross multiply
    153,112.56x = 211,288.76 × 85,129.44
  4. Step 4: Simplify right side
    153,112.56x = 17,986,893,817.09
  5. Step 5: Solve for x
    x = 17,986,893,817.09/153,112.56
  6. Step 6: Final answer
    x = 117,474.97

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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.