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Finding the Fourth Proportional to 129,930.55, 194,895.81 and 48,892.81

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Solution

The fourth proportional to 129,930.55, 194,895.81 and 48,892.81 is: 73,339.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,930.55 : 194,895.81 = 48,892.81 : x
  2. Step 2: Convert to fraction form
    129,930.55/194,895.81 = 48,892.81/x
  3. Step 3: Cross multiply
    129,930.55x = 194,895.81 × 48,892.81
  4. Step 4: Simplify right side
    129,930.55x = 9,529,003,808.13
  5. Step 5: Solve for x
    x = 9,529,003,808.13/129,930.55
  6. Step 6: Final answer
    x = 73,339.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.