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Finding the Fourth Proportional to 119,358.62, 164,711.61 and 65,643.64

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Solution

The fourth proportional to 119,358.62, 164,711.61 and 65,643.64 is: 90,586.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,358.62 : 164,711.61 = 65,643.64 : x
  2. Step 2: Convert to fraction form
    119,358.62/164,711.61 = 65,643.64/x
  3. Step 3: Cross multiply
    119,358.62x = 164,711.61 × 65,643.64
  4. Step 4: Simplify right side
    119,358.62x = 10,812,269,630.66
  5. Step 5: Solve for x
    x = 10,812,269,630.66/119,358.62
  6. Step 6: Final answer
    x = 90,586.42

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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.