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Finding the Fourth Proportional to 119,581, 165,021.78 and 69,309.16

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Solution

The fourth proportional to 119,581, 165,021.78 and 69,309.16 is: 95,646.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,581 : 165,021.78 = 69,309.16 : x
  2. Step 2: Convert to fraction form
    119,581/165,021.78 = 69,309.16/x
  3. Step 3: Cross multiply
    119,581x = 165,021.78 × 69,309.16
  4. Step 4: Simplify right side
    119,581x = 11,437,520,953.50
  5. Step 5: Solve for x
    x = 11,437,520,953.50/119,581
  6. Step 6: Final answer
    x = 95,646.64

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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.