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Finding the Fourth Proportional to 129,842.46, 194,765.13 and 45,599.10

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Solution

The fourth proportional to 129,842.46, 194,765.13 and 45,599.10 is: 68,399.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,842.46 : 194,765.13 = 45,599.10 : x
  2. Step 2: Convert to fraction form
    129,842.46/194,765.13 = 45,599.10/x
  3. Step 3: Cross multiply
    129,842.46x = 194,765.13 × 45,599.10
  4. Step 4: Simplify right side
    129,842.46x = 8,881,114,639.38
  5. Step 5: Solve for x
    x = 8,881,114,639.38/129,842.46
  6. Step 6: Final answer
    x = 68,399.16

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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.