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Finding the Fourth Proportional to 76,374.87, 105,405.10 and 42,383.59

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Solution

The fourth proportional to 76,374.87, 105,405.10 and 42,383.59 is: 58,493.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,374.87 : 105,405.10 = 42,383.59 : x
  2. Step 2: Convert to fraction form
    76,374.87/105,405.10 = 42,383.59/x
  3. Step 3: Cross multiply
    76,374.87x = 105,405.10 × 42,383.59
  4. Step 4: Simplify right side
    76,374.87x = 4,467,446,172.84
  5. Step 5: Solve for x
    x = 4,467,446,172.84/76,374.87
  6. Step 6: Final answer
    x = 58,493.67

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1.5x scale

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.