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Finding the Fourth Proportional to 208,869.40, 288,238.80 and 113,375.26

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Solution

The fourth proportional to 208,869.40, 288,238.80 and 113,375.26 is: 156,457.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,869.40 : 288,238.80 = 113,375.26 : x
  2. Step 2: Convert to fraction form
    208,869.40/288,238.80 = 113,375.26/x
  3. Step 3: Cross multiply
    208,869.40x = 288,238.80 × 113,375.26
  4. Step 4: Simplify right side
    208,869.40x = 32,679,148,892.09
  5. Step 5: Solve for x
    x = 32,679,148,892.09/208,869.40
  6. Step 6: Final answer
    x = 156,457.33

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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.