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Finding the Fourth Proportional to 119,810.76, 165,393.16 and 76,221.23

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Solution

The fourth proportional to 119,810.76, 165,393.16 and 76,221.23 is: 105,219.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,810.76 : 165,393.16 = 76,221.23 : x
  2. Step 2: Convert to fraction form
    119,810.76/165,393.16 = 76,221.23/x
  3. Step 3: Cross multiply
    119,810.76x = 165,393.16 × 76,221.23
  4. Step 4: Simplify right side
    119,810.76x = 12,606,469,707.68
  5. Step 5: Solve for x
    x = 12,606,469,707.68/119,810.76
  6. Step 6: Final answer
    x = 105,219.85

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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.