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Finding the Fourth Proportional to 85,210.40, 127,719.60 and 40,858.40

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Solution

The fourth proportional to 85,210.40, 127,719.60 and 40,858.40 is: 61,241.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,210.40 : 127,719.60 = 40,858.40 : x
  2. Step 2: Convert to fraction form
    85,210.40/127,719.60 = 40,858.40/x
  3. Step 3: Cross multiply
    85,210.40x = 127,719.60 × 40,858.40
  4. Step 4: Simplify right side
    85,210.40x = 5,218,418,504.64
  5. Step 5: Solve for x
    x = 5,218,418,504.64/85,210.40
  6. Step 6: Final answer
    x = 61,241.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.