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Finding the Fourth Proportional to 81,396.70, 112,322.10 and 45,578.50

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Solution

The fourth proportional to 81,396.70, 112,322.10 and 45,578.50 is: 62,895.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,396.70 : 112,322.10 = 45,578.50 : x
  2. Step 2: Convert to fraction form
    81,396.70/112,322.10 = 45,578.50/x
  3. Step 3: Cross multiply
    81,396.70x = 112,322.10 × 45,578.50
  4. Step 4: Simplify right side
    81,396.70x = 5,119,472,834.85
  5. Step 5: Solve for x
    x = 5,119,472,834.85/81,396.70
  6. Step 6: Final answer
    x = 62,895.34

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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.