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Finding the Fourth Proportional to 208,454.89, 287,667.98 and 112,961.77

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Solution

The fourth proportional to 208,454.89, 287,667.98 and 112,961.77 is: 155,887.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,454.89 : 287,667.98 = 112,961.77 : x
  2. Step 2: Convert to fraction form
    208,454.89/287,667.98 = 112,961.77/x
  3. Step 3: Cross multiply
    208,454.89x = 287,667.98 × 112,961.77
  4. Step 4: Simplify right side
    208,454.89x = 32,495,484,193.12
  5. Step 5: Solve for x
    x = 32,495,484,193.12/208,454.89
  6. Step 6: Final answer
    x = 155,887.37

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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.