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Finding the Fourth Proportional to 151,504.64, 209,077.44 and 84,440.96

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Solution

The fourth proportional to 151,504.64, 209,077.44 and 84,440.96 is: 116,529.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,504.64 : 209,077.44 = 84,440.96 : x
  2. Step 2: Convert to fraction form
    151,504.64/209,077.44 = 84,440.96/x
  3. Step 3: Cross multiply
    151,504.64x = 209,077.44 × 84,440.96
  4. Step 4: Simplify right side
    151,504.64x = 17,654,699,747.94
  5. Step 5: Solve for x
    x = 17,654,699,747.94/151,504.64
  6. Step 6: Final answer
    x = 116,529.10

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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.