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Finding the Fourth Proportional to 208,548.27, 287,793.10 and 117,900.77

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Solution

The fourth proportional to 208,548.27, 287,793.10 and 117,900.77 is: 162,701.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,548.27 : 287,793.10 = 117,900.77 : x
  2. Step 2: Convert to fraction form
    208,548.27/287,793.10 = 117,900.77/x
  3. Step 3: Cross multiply
    208,548.27x = 287,793.10 × 117,900.77
  4. Step 4: Simplify right side
    208,548.27x = 33,931,026,799.10
  5. Step 5: Solve for x
    x = 33,931,026,799.10/208,548.27
  6. Step 6: Final answer
    x = 162,701.07

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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.