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Finding the Fourth Proportional to 118,189, 163,114.48 and 65,806.24

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Solution

The fourth proportional to 118,189, 163,114.48 and 65,806.24 is: 90,820.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,189 : 163,114.48 = 65,806.24 : x
  2. Step 2: Convert to fraction form
    118,189/163,114.48 = 65,806.24/x
  3. Step 3: Cross multiply
    118,189x = 163,114.48 × 65,806.24
  4. Step 4: Simplify right side
    118,189x = 10,733,950,618.36
  5. Step 5: Solve for x
    x = 10,733,950,618.36/118,189
  6. Step 6: Final answer
    x = 90,820.22

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1.5x scale

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.