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Finding the Fourth Proportional to 81,813.14, 122,719.81 and 70,686.17

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Solution

The fourth proportional to 81,813.14, 122,719.81 and 70,686.17 is: 106,029.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,813.14 : 122,719.81 = 70,686.17 : x
  2. Step 2: Convert to fraction form
    81,813.14/122,719.81 = 70,686.17/x
  3. Step 3: Cross multiply
    81,813.14x = 122,719.81 × 70,686.17
  4. Step 4: Simplify right side
    81,813.14x = 8,674,593,352.03
  5. Step 5: Solve for x
    x = 8,674,593,352.03/81,813.14
  6. Step 6: Final answer
    x = 106,029.34

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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.