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Finding the Fourth Proportional to 129,703.34, 178,993.31 and 73,114.71

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Solution

The fourth proportional to 129,703.34, 178,993.31 and 73,114.71 is: 100,899.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,703.34 : 178,993.31 = 73,114.71 : x
  2. Step 2: Convert to fraction form
    129,703.34/178,993.31 = 73,114.71/x
  3. Step 3: Cross multiply
    129,703.34x = 178,993.31 × 73,114.71
  4. Step 4: Simplify right side
    129,703.34x = 13,087,043,587.02
  5. Step 5: Solve for x
    x = 13,087,043,587.02/129,703.34
  6. Step 6: Final answer
    x = 100,899.82

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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.