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Finding the Fourth Proportional to 153,056.74, 211,216.92 and 85,071.97

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Solution

The fourth proportional to 153,056.74, 211,216.92 and 85,071.97 is: 117,398.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,056.74 : 211,216.92 = 85,071.97 : x
  2. Step 2: Convert to fraction form
    153,056.74/211,216.92 = 85,071.97/x
  3. Step 3: Cross multiply
    153,056.74x = 211,216.92 × 85,071.97
  4. Step 4: Simplify right side
    153,056.74x = 17,968,639,481.73
  5. Step 5: Solve for x
    x = 17,968,639,481.73/153,056.74
  6. Step 6: Final answer
    x = 117,398.55

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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.