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Finding the Fourth Proportional to 208,486.16, 287,709.73 and 112,992.83

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Solution

The fourth proportional to 208,486.16, 287,709.73 and 112,992.83 is: 155,929.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,486.16 : 287,709.73 = 112,992.83 : x
  2. Step 2: Convert to fraction form
    208,486.16/287,709.73 = 112,992.83/x
  3. Step 3: Cross multiply
    208,486.16x = 287,709.73 × 112,992.83
  4. Step 4: Simplify right side
    208,486.16x = 32,509,134,890.21
  5. Step 5: Solve for x
    x = 32,509,134,890.21/208,486.16
  6. Step 6: Final answer
    x = 155,929.47

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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.