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Finding the Fourth Proportional to 75,212.46, 103,770.93 and 42,946

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Solution

The fourth proportional to 75,212.46, 103,770.93 and 42,946 is: 59,252.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,212.46 : 103,770.93 = 42,946 : x
  2. Step 2: Convert to fraction form
    75,212.46/103,770.93 = 42,946/x
  3. Step 3: Cross multiply
    75,212.46x = 103,770.93 × 42,946
  4. Step 4: Simplify right side
    75,212.46x = 4,456,546,359.78
  5. Step 5: Solve for x
    x = 4,456,546,359.78/75,212.46
  6. Step 6: Final answer
    x = 59,252.77

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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.