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Finding the Fourth Proportional to 119,287.52, 164,616.80 and 65,576

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Solution

The fourth proportional to 119,287.52, 164,616.80 and 65,576 is: 90,494.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,287.52 : 164,616.80 = 65,576 : x
  2. Step 2: Convert to fraction form
    119,287.52/164,616.80 = 65,576/x
  3. Step 3: Cross multiply
    119,287.52x = 164,616.80 × 65,576
  4. Step 4: Simplify right side
    119,287.52x = 10,794,911,276.80
  5. Step 5: Solve for x
    x = 10,794,911,276.80/119,287.52
  6. Step 6: Final answer
    x = 90,494.89

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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.