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Finding the Fourth Proportional to 129,321.78, 178,465.68 and 72,733.16

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Solution

The fourth proportional to 129,321.78, 178,465.68 and 72,733.16 is: 100,372.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,321.78 : 178,465.68 = 72,733.16 : x
  2. Step 2: Convert to fraction form
    129,321.78/178,465.68 = 72,733.16/x
  3. Step 3: Cross multiply
    129,321.78x = 178,465.68 × 72,733.16
  4. Step 4: Simplify right side
    129,321.78x = 12,980,371,965.62
  5. Step 5: Solve for x
    x = 12,980,371,965.62/129,321.78
  6. Step 6: Final answer
    x = 100,372.67

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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.