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Finding the Fourth Proportional to 138,825.76, 191,580.24 and 75,164.80

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Solution

The fourth proportional to 138,825.76, 191,580.24 and 75,164.80 is: 103,727.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,825.76 : 191,580.24 = 75,164.80 : x
  2. Step 2: Convert to fraction form
    138,825.76/191,580.24 = 75,164.80/x
  3. Step 3: Cross multiply
    138,825.76x = 191,580.24 × 75,164.80
  4. Step 4: Simplify right side
    138,825.76x = 14,400,090,423.55
  5. Step 5: Solve for x
    x = 14,400,090,423.55/138,825.76
  6. Step 6: Final answer
    x = 103,727.80

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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.