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Finding the Fourth Proportional to 119,772.48, 165,290 and 65,327.60

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Solution

The fourth proportional to 119,772.48, 165,290 and 65,327.60 is: 90,154.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,772.48 : 165,290 = 65,327.60 : x
  2. Step 2: Convert to fraction form
    119,772.48/165,290 = 65,327.60/x
  3. Step 3: Cross multiply
    119,772.48x = 165,290 × 65,327.60
  4. Step 4: Simplify right side
    119,772.48x = 10,797,999,004
  5. Step 5: Solve for x
    x = 10,797,999,004/119,772.48
  6. Step 6: Final answer
    x = 90,154.26

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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.