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Finding the Fourth Proportional to 208,998.64, 288,420.24 and 113,507.20

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Solution

The fourth proportional to 208,998.64, 288,420.24 and 113,507.20 is: 156,641.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,998.64 : 288,420.24 = 113,507.20 : x
  2. Step 2: Convert to fraction form
    208,998.64/288,420.24 = 113,507.20/x
  3. Step 3: Cross multiply
    208,998.64x = 288,420.24 × 113,507.20
  4. Step 4: Simplify right side
    208,998.64x = 32,737,773,865.73
  5. Step 5: Solve for x
    x = 32,737,773,865.73/208,998.64
  6. Step 6: Final answer
    x = 156,641.09

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1.5x scale

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.