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Finding the Fourth Proportional to 76,450.58, 105,503.21 and 42,462.21

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Solution

The fourth proportional to 76,450.58, 105,503.21 and 42,462.21 is: 58,598.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,450.58 : 105,503.21 = 42,462.21 : x
  2. Step 2: Convert to fraction form
    76,450.58/105,503.21 = 42,462.21/x
  3. Step 3: Cross multiply
    76,450.58x = 105,503.21 × 42,462.21
  4. Step 4: Simplify right side
    76,450.58x = 4,479,899,246.38
  5. Step 5: Solve for x
    x = 4,479,899,246.38/76,450.58
  6. Step 6: Final answer
    x = 58,598.63

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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.