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Finding the Fourth Proportional to 129,555, 178,830.65 and 75,857.28

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Solution

The fourth proportional to 129,555, 178,830.65 and 75,857.28 is: 104,709.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,555 : 178,830.65 = 75,857.28 : x
  2. Step 2: Convert to fraction form
    129,555/178,830.65 = 75,857.28/x
  3. Step 3: Cross multiply
    129,555x = 178,830.65 × 75,857.28
  4. Step 4: Simplify right side
    129,555x = 13,565,606,310.35
  5. Step 5: Solve for x
    x = 13,565,606,310.35/129,555
  6. Step 6: Final answer
    x = 104,709.25

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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.