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Finding the Fourth Proportional to 82,359.60, 123,539.40 and 81,047.40

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Solution

The fourth proportional to 82,359.60, 123,539.40 and 81,047.40 is: 121,571.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,359.60 : 123,539.40 = 81,047.40 : x
  2. Step 2: Convert to fraction form
    82,359.60/123,539.40 = 81,047.40/x
  3. Step 3: Cross multiply
    82,359.60x = 123,539.40 × 81,047.40
  4. Step 4: Simplify right side
    82,359.60x = 10,012,547,167.56
  5. Step 5: Solve for x
    x = 10,012,547,167.56/82,359.60
  6. Step 6: Final answer
    x = 121,571.10

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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.