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Finding the Fourth Proportional to 75,643.40, 113,246.40 and 73,456.40

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Solution

The fourth proportional to 75,643.40, 113,246.40 and 73,456.40 is: 109,972.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,643.40 : 113,246.40 = 73,456.40 : x
  2. Step 2: Convert to fraction form
    75,643.40/113,246.40 = 73,456.40/x
  3. Step 3: Cross multiply
    75,643.40x = 113,246.40 × 73,456.40
  4. Step 4: Simplify right side
    75,643.40x = 8,318,672,856.96
  5. Step 5: Solve for x
    x = 8,318,672,856.96/75,643.40
  6. Step 6: Final answer
    x = 109,972.22

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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.