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Finding the Fourth Proportional to 82,419.66, 113,741.82 and 53,758.08

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Solution

The fourth proportional to 82,419.66, 113,741.82 and 53,758.08 is: 74,187.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,419.66 : 113,741.82 = 53,758.08 : x
  2. Step 2: Convert to fraction form
    82,419.66/113,741.82 = 53,758.08/x
  3. Step 3: Cross multiply
    82,419.66x = 113,741.82 × 53,758.08
  4. Step 4: Simplify right side
    82,419.66x = 6,114,541,858.91
  5. Step 5: Solve for x
    x = 6,114,541,858.91/82,419.66
  6. Step 6: Final answer
    x = 74,187.90

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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.