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Finding the Fourth Proportional to 118,830.80, 163,983.67 and 65,113.22

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Solution

The fourth proportional to 118,830.80, 163,983.67 and 65,113.22 is: 89,854.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,830.80 : 163,983.67 = 65,113.22 : x
  2. Step 2: Convert to fraction form
    118,830.80/163,983.67 = 65,113.22/x
  3. Step 3: Cross multiply
    118,830.80x = 163,983.67 × 65,113.22
  4. Step 4: Simplify right side
    118,830.80x = 10,677,504,781.12
  5. Step 5: Solve for x
    x = 10,677,504,781.12/118,830.80
  6. Step 6: Final answer
    x = 89,854.69

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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.