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Finding the Fourth Proportional to 119,666.80, 165,141.30 and 65,953.76

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Solution

The fourth proportional to 119,666.80, 165,141.30 and 65,953.76 is: 91,016.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,666.80 : 165,141.30 = 65,953.76 : x
  2. Step 2: Convert to fraction form
    119,666.80/165,141.30 = 65,953.76/x
  3. Step 3: Cross multiply
    119,666.80x = 165,141.30 × 65,953.76
  4. Step 4: Simplify right side
    119,666.80x = 10,891,689,666.29
  5. Step 5: Solve for x
    x = 10,891,689,666.29/119,666.80
  6. Step 6: Final answer
    x = 91,016.80

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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.