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Finding the Fourth Proportional to 129,904, 179,267.64 and 73,314.16

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Solution

The fourth proportional to 129,904, 179,267.64 and 73,314.16 is: 101,173.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,904 : 179,267.64 = 73,314.16 : x
  2. Step 2: Convert to fraction form
    129,904/179,267.64 = 73,314.16/x
  3. Step 3: Cross multiply
    129,904x = 179,267.64 × 73,314.16
  4. Step 4: Simplify right side
    129,904x = 13,142,856,441.78
  5. Step 5: Solve for x
    x = 13,142,856,441.78/129,904
  6. Step 6: Final answer
    x = 101,173.61

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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.