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Finding the Fourth Proportional to 100,382.25, 138,527.52 and 55,670.25

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Solution

The fourth proportional to 100,382.25, 138,527.52 and 55,670.25 is: 76,824.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,382.25 : 138,527.52 = 55,670.25 : x
  2. Step 2: Convert to fraction form
    100,382.25/138,527.52 = 55,670.25/x
  3. Step 3: Cross multiply
    100,382.25x = 138,527.52 × 55,670.25
  4. Step 4: Simplify right side
    100,382.25x = 7,711,861,670.28
  5. Step 5: Solve for x
    x = 7,711,861,670.28/100,382.25
  6. Step 6: Final answer
    x = 76,824.95

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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.