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Finding the Fourth Proportional to 129,129, 178,207.74 and 78,837.72

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Solution

The fourth proportional to 129,129, 178,207.74 and 78,837.72 is: 108,801.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,129 : 178,207.74 = 78,837.72 : x
  2. Step 2: Convert to fraction form
    129,129/178,207.74 = 78,837.72/x
  3. Step 3: Cross multiply
    129,129x = 178,207.74 × 78,837.72
  4. Step 4: Simplify right side
    129,129x = 14,049,491,907.95
  5. Step 5: Solve for x
    x = 14,049,491,907.95/129,129
  6. Step 6: Final answer
    x = 108,801.99

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1.5x scale

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.