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Finding the Fourth Proportional to 85,294.20, 127,941.30 and 81,406.20

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Solution

The fourth proportional to 85,294.20, 127,941.30 and 81,406.20 is: 122,109.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,294.20 : 127,941.30 = 81,406.20 : x
  2. Step 2: Convert to fraction form
    85,294.20/127,941.30 = 81,406.20/x
  3. Step 3: Cross multiply
    85,294.20x = 127,941.30 × 81,406.20
  4. Step 4: Simplify right side
    85,294.20x = 10,415,215,056.06
  5. Step 5: Solve for x
    x = 10,415,215,056.06/85,294.20
  6. Step 6: Final answer
    x = 122,109.30

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1.5x scale

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.