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Finding the Fourth Proportional to 129,709, 178,998.42 and 70,093

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Solution

The fourth proportional to 129,709, 178,998.42 and 70,093 is: 96,728.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,709 : 178,998.42 = 70,093 : x
  2. Step 2: Convert to fraction form
    129,709/178,998.42 = 70,093/x
  3. Step 3: Cross multiply
    129,709x = 178,998.42 × 70,093
  4. Step 4: Simplify right side
    129,709x = 12,546,536,253.06
  5. Step 5: Solve for x
    x = 12,546,536,253.06/129,709
  6. Step 6: Final answer
    x = 96,728.34

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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.