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Finding the Fourth Proportional to 129,098.56, 178,172.72 and 72,509.94

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Solution

The fourth proportional to 129,098.56, 178,172.72 and 72,509.94 is: 100,073.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,098.56 : 178,172.72 = 72,509.94 : x
  2. Step 2: Convert to fraction form
    129,098.56/178,172.72 = 72,509.94/x
  3. Step 3: Cross multiply
    129,098.56x = 178,172.72 × 72,509.94
  4. Step 4: Simplify right side
    129,098.56x = 12,919,293,236.84
  5. Step 5: Solve for x
    x = 12,919,293,236.84/129,098.56
  6. Step 6: Final answer
    x = 100,073.10

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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.