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Finding the Fourth Proportional to 76,170.96, 105,108.58 and 45,538

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Solution

The fourth proportional to 76,170.96, 105,108.58 and 45,538 is: 62,838.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,170.96 : 105,108.58 = 45,538 : x
  2. Step 2: Convert to fraction form
    76,170.96/105,108.58 = 45,538/x
  3. Step 3: Cross multiply
    76,170.96x = 105,108.58 × 45,538
  4. Step 4: Simplify right side
    76,170.96x = 4,786,434,516.04
  5. Step 5: Solve for x
    x = 4,786,434,516.04/76,170.96
  6. Step 6: Final answer
    x = 62,838.05

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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.