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Finding the Fourth Proportional to 100,236.76, 138,274.23 and 61,984.10

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Solution

The fourth proportional to 100,236.76, 138,274.23 and 61,984.10 is: 85,505.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,236.76 : 138,274.23 = 61,984.10 : x
  2. Step 2: Convert to fraction form
    100,236.76/138,274.23 = 61,984.10/x
  3. Step 3: Cross multiply
    100,236.76x = 138,274.23 × 61,984.10
  4. Step 4: Simplify right side
    100,236.76x = 8,570,804,277.87
  5. Step 5: Solve for x
    x = 8,570,804,277.87/100,236.76
  6. Step 6: Final answer
    x = 85,505.60

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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.