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Finding the Fourth Proportional to 129,714, 179,005.41 and 70,098

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Solution

The fourth proportional to 129,714, 179,005.41 and 70,098 is: 96,735.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,714 : 179,005.41 = 70,098 : x
  2. Step 2: Convert to fraction form
    129,714/179,005.41 = 70,098/x
  3. Step 3: Cross multiply
    129,714x = 179,005.41 × 70,098
  4. Step 4: Simplify right side
    129,714x = 12,547,921,230.18
  5. Step 5: Solve for x
    x = 12,547,921,230.18/129,714
  6. Step 6: Final answer
    x = 96,735.29

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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.