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Finding the Fourth Proportional to 116,299.91, 160,502.39 and 65,315.64

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Solution

The fourth proportional to 116,299.91, 160,502.39 and 65,315.64 is: 90,140.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,299.91 : 160,502.39 = 65,315.64 : x
  2. Step 2: Convert to fraction form
    116,299.91/160,502.39 = 65,315.64/x
  3. Step 3: Cross multiply
    116,299.91x = 160,502.39 × 65,315.64
  4. Step 4: Simplify right side
    116,299.91x = 10,483,315,997.80
  5. Step 5: Solve for x
    x = 10,483,315,997.80/116,299.91
  6. Step 6: Final answer
    x = 90,140.37

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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.