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Finding the Fourth Proportional to 208,889.82, 288,268.54 and 113,396.58

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Solution

The fourth proportional to 208,889.82, 288,268.54 and 113,396.58 is: 156,487.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,889.82 : 288,268.54 = 113,396.58 : x
  2. Step 2: Convert to fraction form
    208,889.82/288,268.54 = 113,396.58/x
  3. Step 3: Cross multiply
    208,889.82x = 288,268.54 × 113,396.58
  4. Step 4: Simplify right side
    208,889.82x = 32,688,666,557.59
  5. Step 5: Solve for x
    x = 32,688,666,557.59/208,889.82
  6. Step 6: Final answer
    x = 156,487.60

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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.