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Finding the Fourth Proportional to 189,379.76, 261,343.34 and 103,337.98

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Solution

The fourth proportional to 189,379.76, 261,343.34 and 103,337.98 is: 142,606.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,379.76 : 261,343.34 = 103,337.98 : x
  2. Step 2: Convert to fraction form
    189,379.76/261,343.34 = 103,337.98/x
  3. Step 3: Cross multiply
    189,379.76x = 261,343.34 × 103,337.98
  4. Step 4: Simplify right side
    189,379.76x = 27,006,692,640.80
  5. Step 5: Solve for x
    x = 27,006,692,640.80/189,379.76
  6. Step 6: Final answer
    x = 142,606.02

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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.