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Finding the Fourth Proportional to 133,864.32, 184,656 and 83,475.84

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Solution

The fourth proportional to 133,864.32, 184,656 and 83,475.84 is: 115,148.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,864.32 : 184,656 = 83,475.84 : x
  2. Step 2: Convert to fraction form
    133,864.32/184,656 = 83,475.84/x
  3. Step 3: Cross multiply
    133,864.32x = 184,656 × 83,475.84
  4. Step 4: Simplify right side
    133,864.32x = 15,414,314,711.04
  5. Step 5: Solve for x
    x = 15,414,314,711.04/133,864.32
  6. Step 6: Final answer
    x = 115,148.79

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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.