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Finding the Fourth Proportional to 97,697.97, 134,837.69 and 61,891.31

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Solution

The fourth proportional to 97,697.97, 134,837.69 and 61,891.31 is: 85,419.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,697.97 : 134,837.69 = 61,891.31 : x
  2. Step 2: Convert to fraction form
    97,697.97/134,837.69 = 61,891.31/x
  3. Step 3: Cross multiply
    97,697.97x = 134,837.69 × 61,891.31
  4. Step 4: Simplify right side
    97,697.97x = 8,345,280,287.83
  5. Step 5: Solve for x
    x = 8,345,280,287.83/97,697.97
  6. Step 6: Final answer
    x = 85,419.18

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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.