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Finding the Fourth Proportional to 76,359, 105,375.48 and 42,825

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Solution

The fourth proportional to 76,359, 105,375.48 and 42,825 is: 59,098.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,359 : 105,375.48 = 42,825 : x
  2. Step 2: Convert to fraction form
    76,359/105,375.48 = 42,825/x
  3. Step 3: Cross multiply
    76,359x = 105,375.48 × 42,825
  4. Step 4: Simplify right side
    76,359x = 4,512,704,931
  5. Step 5: Solve for x
    x = 4,512,704,931/76,359
  6. Step 6: Final answer
    x = 59,098.53

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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.