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Finding the Fourth Proportional to 119,157.89, 164,439.02 and 65,444

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Solution

The fourth proportional to 119,157.89, 164,439.02 and 65,444 is: 90,313.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,157.89 : 164,439.02 = 65,444 : x
  2. Step 2: Convert to fraction form
    119,157.89/164,439.02 = 65,444/x
  3. Step 3: Cross multiply
    119,157.89x = 164,439.02 × 65,444
  4. Step 4: Simplify right side
    119,157.89x = 10,761,546,897.66
  5. Step 5: Solve for x
    x = 10,761,546,897.66/119,157.89
  6. Step 6: Final answer
    x = 90,313.34

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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.