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Finding the Fourth Proportional to 133,178, 183,785.64 and 73,565.84

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Solution

The fourth proportional to 133,178, 183,785.64 and 73,565.84 is: 101,520.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,178 : 183,785.64 = 73,565.84 : x
  2. Step 2: Convert to fraction form
    133,178/183,785.64 = 73,565.84/x
  3. Step 3: Cross multiply
    133,178x = 183,785.64 × 73,565.84
  4. Step 4: Simplify right side
    133,178x = 13,520,344,986.54
  5. Step 5: Solve for x
    x = 13,520,344,986.54/133,178
  6. Step 6: Final answer
    x = 101,520.86

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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.