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Finding the Fourth Proportional to 195,312, 269,498.16 and 122,703.60

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Solution

The fourth proportional to 195,312, 269,498.16 and 122,703.60 is: 169,310.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,312 : 269,498.16 = 122,703.60 : x
  2. Step 2: Convert to fraction form
    195,312/269,498.16 = 122,703.60/x
  3. Step 3: Cross multiply
    195,312x = 269,498.16 × 122,703.60
  4. Step 4: Simplify right side
    195,312x = 33,068,394,425.38
  5. Step 5: Solve for x
    x = 33,068,394,425.38/195,312
  6. Step 6: Final answer
    x = 169,310.61

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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.