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Finding the Fourth Proportional to 119,853.48, 165,397.80 and 65,405.84

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Solution

The fourth proportional to 119,853.48, 165,397.80 and 65,405.84 is: 90,260.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,853.48 : 165,397.80 = 65,405.84 : x
  2. Step 2: Convert to fraction form
    119,853.48/165,397.80 = 65,405.84/x
  3. Step 3: Cross multiply
    119,853.48x = 165,397.80 × 65,405.84
  4. Step 4: Simplify right side
    119,853.48x = 10,817,982,043.15
  5. Step 5: Solve for x
    x = 10,817,982,043.15/119,853.48
  6. Step 6: Final answer
    x = 90,260.06

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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.