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Finding the Fourth Proportional to 208,265.58, 287,406.09 and 112,771.98

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Solution

The fourth proportional to 208,265.58, 287,406.09 and 112,771.98 is: 155,625.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,265.58 : 287,406.09 = 112,771.98 : x
  2. Step 2: Convert to fraction form
    208,265.58/287,406.09 = 112,771.98/x
  3. Step 3: Cross multiply
    208,265.58x = 287,406.09 × 112,771.98
  4. Step 4: Simplify right side
    208,265.58x = 32,411,353,833.36
  5. Step 5: Solve for x
    x = 32,411,353,833.36/208,265.58
  6. Step 6: Final answer
    x = 155,625.11

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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.