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Finding the Fourth Proportional to 51,358.53, 76,911.93 and 42,419.16

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Solution

The fourth proportional to 51,358.53, 76,911.93 and 42,419.16 is: 63,524.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,358.53 : 76,911.93 = 42,419.16 : x
  2. Step 2: Convert to fraction form
    51,358.53/76,911.93 = 42,419.16/x
  3. Step 3: Cross multiply
    51,358.53x = 76,911.93 × 42,419.16
  4. Step 4: Simplify right side
    51,358.53x = 3,262,539,464.58
  5. Step 5: Solve for x
    x = 3,262,539,464.58/51,358.53
  6. Step 6: Final answer
    x = 63,524.78

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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.