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Finding the Fourth Proportional to 208,452.96, 287,664.36 and 112,962

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Solution

The fourth proportional to 208,452.96, 287,664.36 and 112,962 is: 155,887.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,452.96 : 287,664.36 = 112,962 : x
  2. Step 2: Convert to fraction form
    208,452.96/287,664.36 = 112,962/x
  3. Step 3: Cross multiply
    208,452.96x = 287,664.36 × 112,962
  4. Step 4: Simplify right side
    208,452.96x = 32,495,141,434.32
  5. Step 5: Solve for x
    x = 32,495,141,434.32/208,452.96
  6. Step 6: Final answer
    x = 155,887.17

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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.