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Finding the Fourth Proportional to 81,012, 121,572 and 31,133.28

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Solution

The fourth proportional to 81,012, 121,572 and 31,133.28 is: 46,720.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,012 : 121,572 = 31,133.28 : x
  2. Step 2: Convert to fraction form
    81,012/121,572 = 31,133.28/x
  3. Step 3: Cross multiply
    81,012x = 121,572 × 31,133.28
  4. Step 4: Simplify right side
    81,012x = 3,784,935,116.16
  5. Step 5: Solve for x
    x = 3,784,935,116.16/81,012
  6. Step 6: Final answer
    x = 46,720.67

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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.