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Finding the Fourth Proportional to 81,670.28, 122,985.11 and 71,264.40

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Solution

The fourth proportional to 81,670.28, 122,985.11 and 71,264.40 is: 107,315.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,670.28 : 122,985.11 = 71,264.40 : x
  2. Step 2: Convert to fraction form
    81,670.28/122,985.11 = 71,264.40/x
  3. Step 3: Cross multiply
    81,670.28x = 122,985.11 × 71,264.40
  4. Step 4: Simplify right side
    81,670.28x = 8,764,460,073.08
  5. Step 5: Solve for x
    x = 8,764,460,073.08/81,670.28
  6. Step 6: Final answer
    x = 107,315.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.