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Finding the Fourth Proportional to 82,458, 123,687.72 and 23,292.36

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Solution

The fourth proportional to 82,458, 123,687.72 and 23,292.36 is: 34,938.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,458 : 123,687.72 = 23,292.36 : x
  2. Step 2: Convert to fraction form
    82,458/123,687.72 = 23,292.36/x
  3. Step 3: Cross multiply
    82,458x = 123,687.72 × 23,292.36
  4. Step 4: Simplify right side
    82,458x = 2,880,978,901.82
  5. Step 5: Solve for x
    x = 2,880,978,901.82/82,458
  6. Step 6: Final answer
    x = 34,938.74

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