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Finding the Fourth Proportional to 208,854.66, 288,219.72 and 113,361.30

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Solution

The fourth proportional to 208,854.66, 288,219.72 and 113,361.30 is: 156,438.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,854.66 : 288,219.72 = 113,361.30 : x
  2. Step 2: Convert to fraction form
    208,854.66/288,219.72 = 113,361.30/x
  3. Step 3: Cross multiply
    208,854.66x = 288,219.72 × 113,361.30
  4. Step 4: Simplify right side
    208,854.66x = 32,672,962,144.84
  5. Step 5: Solve for x
    x = 32,672,962,144.84/208,854.66
  6. Step 6: Final answer
    x = 156,438.75

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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.