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Finding the Fourth Proportional to 59,409.92, 82,016.16 and 40,390.40

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Solution

The fourth proportional to 59,409.92, 82,016.16 and 40,390.40 is: 55,759.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,409.92 : 82,016.16 = 40,390.40 : x
  2. Step 2: Convert to fraction form
    59,409.92/82,016.16 = 40,390.40/x
  3. Step 3: Cross multiply
    59,409.92x = 82,016.16 × 40,390.40
  4. Step 4: Simplify right side
    59,409.92x = 3,312,665,508.86
  5. Step 5: Solve for x
    x = 3,312,665,508.86/59,409.92
  6. Step 6: Final answer
    x = 55,759.47

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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.