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Finding the Fourth Proportional to 76,219.50, 105,172.40 and 42,219.56

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Solution

The fourth proportional to 76,219.50, 105,172.40 and 42,219.56 is: 58,257.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,219.50 : 105,172.40 = 42,219.56 : x
  2. Step 2: Convert to fraction form
    76,219.50/105,172.40 = 42,219.56/x
  3. Step 3: Cross multiply
    76,219.50x = 105,172.40 × 42,219.56
  4. Step 4: Simplify right side
    76,219.50x = 4,440,332,452.14
  5. Step 5: Solve for x
    x = 4,440,332,452.14/76,219.50
  6. Step 6: Final answer
    x = 58,257.17

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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.