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Finding the Fourth Proportional to 129,690, 178,972.44 and 70,074

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Solution

The fourth proportional to 129,690, 178,972.44 and 70,074 is: 96,702.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,690 : 178,972.44 = 70,074 : x
  2. Step 2: Convert to fraction form
    129,690/178,972.44 = 70,074/x
  3. Step 3: Cross multiply
    129,690x = 178,972.44 × 70,074
  4. Step 4: Simplify right side
    129,690x = 12,541,314,760.56
  5. Step 5: Solve for x
    x = 12,541,314,760.56/129,690
  6. Step 6: Final answer
    x = 96,702.25

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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.