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Finding the Fourth Proportional to 129,602, 178,850.76 and 69,986

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Solution

The fourth proportional to 129,602, 178,850.76 and 69,986 is: 96,580.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,602 : 178,850.76 = 69,986 : x
  2. Step 2: Convert to fraction form
    129,602/178,850.76 = 69,986/x
  3. Step 3: Cross multiply
    129,602x = 178,850.76 × 69,986
  4. Step 4: Simplify right side
    129,602x = 12,517,049,289.36
  5. Step 5: Solve for x
    x = 12,517,049,289.36/129,602
  6. Step 6: Final answer
    x = 96,580.68

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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.