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Finding the Fourth Proportional to 138,005.66, 190,446.80 and 80,643.48

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Solution

The fourth proportional to 138,005.66, 190,446.80 and 80,643.48 is: 111,287.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,005.66 : 190,446.80 = 80,643.48 : x
  2. Step 2: Convert to fraction form
    138,005.66/190,446.80 = 80,643.48/x
  3. Step 3: Cross multiply
    138,005.66x = 190,446.80 × 80,643.48
  4. Step 4: Simplify right side
    138,005.66x = 15,358,292,706.86
  5. Step 5: Solve for x
    x = 15,358,292,706.86/138,005.66
  6. Step 6: Final answer
    x = 111,287.41

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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.