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Finding the Fourth Proportional to 133,409.54, 184,109.92 and 72,976.58

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Solution

The fourth proportional to 133,409.54, 184,109.92 and 72,976.58 is: 100,710.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,409.54 : 184,109.92 = 72,976.58 : x
  2. Step 2: Convert to fraction form
    133,409.54/184,109.92 = 72,976.58/x
  3. Step 3: Cross multiply
    133,409.54x = 184,109.92 × 72,976.58
  4. Step 4: Simplify right side
    133,409.54x = 13,435,712,305.67
  5. Step 5: Solve for x
    x = 13,435,712,305.67/133,409.54
  6. Step 6: Final answer
    x = 100,710.28

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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.