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Finding the Fourth Proportional to 119,072.65, 164,319.67 and 65,358.58

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Solution

The fourth proportional to 119,072.65, 164,319.67 and 65,358.58 is: 90,194.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,072.65 : 164,319.67 = 65,358.58 : x
  2. Step 2: Convert to fraction form
    119,072.65/164,319.67 = 65,358.58/x
  3. Step 3: Cross multiply
    119,072.65x = 164,319.67 × 65,358.58
  4. Step 4: Simplify right side
    119,072.65x = 10,739,699,723.07
  5. Step 5: Solve for x
    x = 10,739,699,723.07/119,072.65
  6. Step 6: Final answer
    x = 90,194.52

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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.