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Finding the Fourth Proportional to 118,728.92, 163,849.62 and 65,019.03

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Solution

The fourth proportional to 118,728.92, 163,849.62 and 65,019.03 is: 89,728.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,728.92 : 163,849.62 = 65,019.03 : x
  2. Step 2: Convert to fraction form
    118,728.92/163,849.62 = 65,019.03/x
  3. Step 3: Cross multiply
    118,728.92x = 163,849.62 × 65,019.03
  4. Step 4: Simplify right side
    118,728.92x = 10,653,343,358.27
  5. Step 5: Solve for x
    x = 10,653,343,358.27/118,728.92
  6. Step 6: Final answer
    x = 89,728.30

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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.