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Finding the Fourth Proportional to 119,765.72, 165,323.94 and 72,009.84

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Solution

The fourth proportional to 119,765.72, 165,323.94 and 72,009.84 is: 99,401.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,765.72 : 165,323.94 = 72,009.84 : x
  2. Step 2: Convert to fraction form
    119,765.72/165,323.94 = 72,009.84/x
  3. Step 3: Cross multiply
    119,765.72x = 165,323.94 × 72,009.84
  4. Step 4: Simplify right side
    119,765.72x = 11,904,950,817.50
  5. Step 5: Solve for x
    x = 11,904,950,817.50/119,765.72
  6. Step 6: Final answer
    x = 99,401.99

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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.