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Finding the Fourth Proportional to 118,829.68, 163,977.84 and 65,104

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Solution

The fourth proportional to 118,829.68, 163,977.84 and 65,104 is: 89,839.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,829.68 : 163,977.84 = 65,104 : x
  2. Step 2: Convert to fraction form
    118,829.68/163,977.84 = 65,104/x
  3. Step 3: Cross multiply
    118,829.68x = 163,977.84 × 65,104
  4. Step 4: Simplify right side
    118,829.68x = 10,675,613,295.36
  5. Step 5: Solve for x
    x = 10,675,613,295.36/118,829.68
  6. Step 6: Final answer
    x = 89,839.62

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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.