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Finding the Fourth Proportional to 100,538.68, 138,737.84 and 55,222.60

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Solution

The fourth proportional to 100,538.68, 138,737.84 and 55,222.60 is: 76,204.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,538.68 : 138,737.84 = 55,222.60 : x
  2. Step 2: Convert to fraction form
    100,538.68/138,737.84 = 55,222.60/x
  3. Step 3: Cross multiply
    100,538.68x = 138,737.84 × 55,222.60
  4. Step 4: Simplify right side
    100,538.68x = 7,661,464,243.18
  5. Step 5: Solve for x
    x = 7,661,464,243.18/100,538.68
  6. Step 6: Final answer
    x = 76,204.15

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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.