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Finding the Fourth Proportional to 119,986.86, 165,580.88 and 65,539.06

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Solution

The fourth proportional to 119,986.86, 165,580.88 and 65,539.06 is: 90,443.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,986.86 : 165,580.88 = 65,539.06 : x
  2. Step 2: Convert to fraction form
    119,986.86/165,580.88 = 65,539.06/x
  3. Step 3: Cross multiply
    119,986.86x = 165,580.88 × 65,539.06
  4. Step 4: Simplify right side
    119,986.86x = 10,852,015,229.17
  5. Step 5: Solve for x
    x = 10,852,015,229.17/119,986.86
  6. Step 6: Final answer
    x = 90,443.36

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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.