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Finding the Fourth Proportional to 208,410.52, 287,617.68 and 117,770.32

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Solution

The fourth proportional to 208,410.52, 287,617.68 and 117,770.32 is: 162,529.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,410.52 : 287,617.68 = 117,770.32 : x
  2. Step 2: Convert to fraction form
    208,410.52/287,617.68 = 117,770.32/x
  3. Step 3: Cross multiply
    208,410.52x = 287,617.68 × 117,770.32
  4. Step 4: Simplify right side
    208,410.52x = 33,872,826,211.26
  5. Step 5: Solve for x
    x = 33,872,826,211.26/208,410.52
  6. Step 6: Final answer
    x = 162,529.35

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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.