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Finding the Fourth Proportional to 119,712.69, 165,204.63 and 65,999.61

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Solution

The fourth proportional to 119,712.69, 165,204.63 and 65,999.61 is: 91,080.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,712.69 : 165,204.63 = 65,999.61 : x
  2. Step 2: Convert to fraction form
    119,712.69/165,204.63 = 65,999.61/x
  3. Step 3: Cross multiply
    119,712.69x = 165,204.63 × 65,999.61
  4. Step 4: Simplify right side
    119,712.69x = 10,903,441,150.19
  5. Step 5: Solve for x
    x = 10,903,441,150.19/119,712.69
  6. Step 6: Final answer
    x = 91,080.08

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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.