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Finding the Fourth Proportional to 69,624.94, 96,082.32 and 39,409.72

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Solution

The fourth proportional to 69,624.94, 96,082.32 and 39,409.72 is: 54,385.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,624.94 : 96,082.32 = 39,409.72 : x
  2. Step 2: Convert to fraction form
    69,624.94/96,082.32 = 39,409.72/x
  3. Step 3: Cross multiply
    69,624.94x = 96,082.32 × 39,409.72
  4. Step 4: Simplify right side
    69,624.94x = 3,786,577,328.15
  5. Step 5: Solve for x
    x = 3,786,577,328.15/69,624.94
  6. Step 6: Final answer
    x = 54,385.36

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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.