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Finding the Fourth Proportional to 119,661.65, 165,133.38 and 65,214.23

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Solution

The fourth proportional to 119,661.65, 165,133.38 and 65,214.23 is: 89,995.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,661.65 : 165,133.38 = 65,214.23 : x
  2. Step 2: Convert to fraction form
    119,661.65/165,133.38 = 65,214.23/x
  3. Step 3: Cross multiply
    119,661.65x = 165,133.38 × 65,214.23
  4. Step 4: Simplify right side
    119,661.65x = 10,769,045,897.93
  5. Step 5: Solve for x
    x = 10,769,045,897.93/119,661.65
  6. Step 6: Final answer
    x = 89,995.80

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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.