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Finding the Fourth Proportional to 153,104.66, 211,291.46 and 85,128.55

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Solution

The fourth proportional to 153,104.66, 211,291.46 and 85,128.55 is: 117,481.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,104.66 : 211,291.46 = 85,128.55 : x
  2. Step 2: Convert to fraction form
    153,104.66/211,291.46 = 85,128.55/x
  3. Step 3: Cross multiply
    153,104.66x = 211,291.46 × 85,128.55
  4. Step 4: Simplify right side
    153,104.66x = 17,986,935,617.18
  5. Step 5: Solve for x
    x = 17,986,935,617.18/153,104.66
  6. Step 6: Final answer
    x = 117,481.31

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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.