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Finding the Fourth Proportional to 129,780, 178,934.13 and 108,300.69

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Solution

The fourth proportional to 129,780, 178,934.13 and 108,300.69 is: 149,319.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,780 : 178,934.13 = 108,300.69 : x
  2. Step 2: Convert to fraction form
    129,780/178,934.13 = 108,300.69/x
  3. Step 3: Cross multiply
    129,780x = 178,934.13 × 108,300.69
  4. Step 4: Simplify right side
    129,780x = 19,378,689,743.55
  5. Step 5: Solve for x
    x = 19,378,689,743.55/129,780
  6. Step 6: Final answer
    x = 149,319.54

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1.5x scale

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.