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Finding the Fourth Proportional to 208,156.56, 287,269.92 and 117,480.30

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Solution

The fourth proportional to 208,156.56, 287,269.92 and 117,480.30 is: 162,130.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,156.56 : 287,269.92 = 117,480.30 : x
  2. Step 2: Convert to fraction form
    208,156.56/287,269.92 = 117,480.30/x
  3. Step 3: Cross multiply
    208,156.56x = 287,269.92 × 117,480.30
  4. Step 4: Simplify right side
    208,156.56x = 33,748,556,382.58
  5. Step 5: Solve for x
    x = 33,748,556,382.58/208,156.56
  6. Step 6: Final answer
    x = 162,130.64

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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.