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Finding the Fourth Proportional to 119,855.48, 165,330.72 and 76,819.64

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Solution

The fourth proportional to 119,855.48, 165,330.72 and 76,819.64 is: 105,966.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,855.48 : 165,330.72 = 76,819.64 : x
  2. Step 2: Convert to fraction form
    119,855.48/165,330.72 = 76,819.64/x
  3. Step 3: Cross multiply
    119,855.48x = 165,330.72 × 76,819.64
  4. Step 4: Simplify right side
    119,855.48x = 12,700,646,391.34
  5. Step 5: Solve for x
    x = 12,700,646,391.34/119,855.48
  6. Step 6: Final answer
    x = 105,966.34

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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.