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Finding the Fourth Proportional to 208,726.08, 287,910.90 and 123,783

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Solution

The fourth proportional to 208,726.08, 287,910.90 and 123,783 is: 170,742.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,726.08 : 287,910.90 = 123,783 : x
  2. Step 2: Convert to fraction form
    208,726.08/287,910.90 = 123,783/x
  3. Step 3: Cross multiply
    208,726.08x = 287,910.90 × 123,783
  4. Step 4: Simplify right side
    208,726.08x = 35,638,474,934.70
  5. Step 5: Solve for x
    x = 35,638,474,934.70/208,726.08
  6. Step 6: Final answer
    x = 170,742.80

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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.