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Finding the Fourth Proportional to 208,159.91, 287,265.90 and 127,631.83

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Solution

The fourth proportional to 208,159.91, 287,265.90 and 127,631.83 is: 176,135.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,159.91 : 287,265.90 = 127,631.83 : x
  2. Step 2: Convert to fraction form
    208,159.91/287,265.90 = 127,631.83/x
  3. Step 3: Cross multiply
    208,159.91x = 287,265.90 × 127,631.83
  4. Step 4: Simplify right side
    208,159.91x = 36,664,271,077.27
  5. Step 5: Solve for x
    x = 36,664,271,077.27/208,159.91
  6. Step 6: Final answer
    x = 176,135.12

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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.