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Finding the Fourth Proportional to 119,379.62, 164,740.43 and 65,664.63

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Solution

The fourth proportional to 119,379.62, 164,740.43 and 65,664.63 is: 90,615.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,379.62 : 164,740.43 = 65,664.63 : x
  2. Step 2: Convert to fraction form
    119,379.62/164,740.43 = 65,664.63/x
  3. Step 3: Cross multiply
    119,379.62x = 164,740.43 × 65,664.63
  4. Step 4: Simplify right side
    119,379.62x = 10,817,618,682.13
  5. Step 5: Solve for x
    x = 10,817,618,682.13/119,379.62
  6. Step 6: Final answer
    x = 90,615.29

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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.