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Finding the Fourth Proportional to 208,458.36, 287,672.96 and 112,965.12

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Solution

The fourth proportional to 208,458.36, 287,672.96 and 112,965.12 is: 155,892.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,458.36 : 287,672.96 = 112,965.12 : x
  2. Step 2: Convert to fraction form
    208,458.36/287,672.96 = 112,965.12/x
  3. Step 3: Cross multiply
    208,458.36x = 287,672.96 × 112,965.12
  4. Step 4: Simplify right side
    208,458.36x = 32,497,010,447.16
  5. Step 5: Solve for x
    x = 32,497,010,447.16/208,458.36
  6. Step 6: Final answer
    x = 155,892.09

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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.