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Finding the Fourth Proportional to 86,842, 130,194.96 and 34,290.82

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Solution

The fourth proportional to 86,842, 130,194.96 and 34,290.82 is: 51,409.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,842 : 130,194.96 = 34,290.82 : x
  2. Step 2: Convert to fraction form
    86,842/130,194.96 = 34,290.82/x
  3. Step 3: Cross multiply
    86,842x = 130,194.96 × 34,290.82
  4. Step 4: Simplify right side
    86,842x = 4,464,491,938.27
  5. Step 5: Solve for x
    x = 4,464,491,938.27/86,842
  6. Step 6: Final answer
    x = 51,409.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.