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Finding the Fourth Proportional to 129,780, 179,096.44 and 70,164

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Solution

The fourth proportional to 129,780, 179,096.44 and 70,164 is: 96,826.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,780 : 179,096.44 = 70,164 : x
  2. Step 2: Convert to fraction form
    129,780/179,096.44 = 70,164/x
  3. Step 3: Cross multiply
    129,780x = 179,096.44 × 70,164
  4. Step 4: Simplify right side
    129,780x = 12,566,122,616.16
  5. Step 5: Solve for x
    x = 12,566,122,616.16/129,780
  6. Step 6: Final answer
    x = 96,826.34

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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.