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Finding the Fourth Proportional to 129,668, 178,941.86 and 70,052

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Solution

The fourth proportional to 129,668, 178,941.86 and 70,052 is: 96,671.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,668 : 178,941.86 = 70,052 : x
  2. Step 2: Convert to fraction form
    129,668/178,941.86 = 70,052/x
  3. Step 3: Cross multiply
    129,668x = 178,941.86 × 70,052
  4. Step 4: Simplify right side
    129,668x = 12,535,235,176.72
  5. Step 5: Solve for x
    x = 12,535,235,176.72/129,668
  6. Step 6: Final answer
    x = 96,671.77

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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.