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Finding the Fourth Proportional to 112,865.85, 169,509.47 and 99,361.80

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Solution

The fourth proportional to 112,865.85, 169,509.47 and 99,361.80 is: 149,228.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,865.85 : 169,509.47 = 99,361.80 : x
  2. Step 2: Convert to fraction form
    112,865.85/169,509.47 = 99,361.80/x
  3. Step 3: Cross multiply
    112,865.85x = 169,509.47 × 99,361.80
  4. Step 4: Simplify right side
    112,865.85x = 16,842,765,559.44
  5. Step 5: Solve for x
    x = 16,842,765,559.44/112,865.85
  6. Step 6: Final answer
    x = 149,228.18

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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.