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Finding the Fourth Proportional to 151,580.61, 209,193.21 and 83,603.79

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Solution

The fourth proportional to 151,580.61, 209,193.21 and 83,603.79 is: 115,379.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,580.61 : 209,193.21 = 83,603.79 : x
  2. Step 2: Convert to fraction form
    151,580.61/209,193.21 = 83,603.79/x
  3. Step 3: Cross multiply
    151,580.61x = 209,193.21 × 83,603.79
  4. Step 4: Simplify right side
    151,580.61x = 17,489,345,198.27
  5. Step 5: Solve for x
    x = 17,489,345,198.27/151,580.61
  6. Step 6: Final answer
    x = 115,379.83

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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.