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Finding the Fourth Proportional to 129,189.63, 178,269.49 and 74,733.06

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Solution

The fourth proportional to 129,189.63, 178,269.49 and 74,733.06 is: 103,124.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,189.63 : 178,269.49 = 74,733.06 : x
  2. Step 2: Convert to fraction form
    129,189.63/178,269.49 = 74,733.06/x
  3. Step 3: Cross multiply
    129,189.63x = 178,269.49 × 74,733.06
  4. Step 4: Simplify right side
    129,189.63x = 13,322,625,254.27
  5. Step 5: Solve for x
    x = 13,322,625,254.27/129,189.63
  6. Step 6: Final answer
    x = 103,124.57

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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.