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Finding the Fourth Proportional to 153,105.44, 211,290.91 and 85,141.69

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Solution

The fourth proportional to 153,105.44, 211,290.91 and 85,141.69 is: 117,498.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,105.44 : 211,290.91 = 85,141.69 : x
  2. Step 2: Convert to fraction form
    153,105.44/211,290.91 = 85,141.69/x
  3. Step 3: Cross multiply
    153,105.44x = 211,290.91 × 85,141.69
  4. Step 4: Simplify right side
    153,105.44x = 17,989,664,417.96
  5. Step 5: Solve for x
    x = 17,989,664,417.96/153,105.44
  6. Step 6: Final answer
    x = 117,498.54

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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.