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Finding the Fourth Proportional to 103,768.56, 143,190.90 and 61,318.98

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Solution

The fourth proportional to 103,768.56, 143,190.90 and 61,318.98 is: 84,614.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,768.56 : 143,190.90 = 61,318.98 : x
  2. Step 2: Convert to fraction form
    103,768.56/143,190.90 = 61,318.98/x
  3. Step 3: Cross multiply
    103,768.56x = 143,190.90 × 61,318.98
  4. Step 4: Simplify right side
    103,768.56x = 8,780,319,933.28
  5. Step 5: Solve for x
    x = 8,780,319,933.28/103,768.56
  6. Step 6: Final answer
    x = 84,614.45

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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.