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Finding the Fourth Proportional to 76,397.81, 105,435.65 and 44,576.96

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Solution

The fourth proportional to 76,397.81, 105,435.65 and 44,576.96 is: 61,520.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,397.81 : 105,435.65 = 44,576.96 : x
  2. Step 2: Convert to fraction form
    76,397.81/105,435.65 = 44,576.96/x
  3. Step 3: Cross multiply
    76,397.81x = 105,435.65 × 44,576.96
  4. Step 4: Simplify right side
    76,397.81x = 4,700,000,336.89
  5. Step 5: Solve for x
    x = 4,700,000,336.89/76,397.81
  6. Step 6: Final answer
    x = 61,520.10

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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.