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Finding the Fourth Proportional to 81,615.16, 122,423.28 and 22,457.08

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Solution

The fourth proportional to 81,615.16, 122,423.28 and 22,457.08 is: 33,685.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,615.16 : 122,423.28 = 22,457.08 : x
  2. Step 2: Convert to fraction form
    81,615.16/122,423.28 = 22,457.08/x
  3. Step 3: Cross multiply
    81,615.16x = 122,423.28 × 22,457.08
  4. Step 4: Simplify right side
    81,615.16x = 2,749,269,392.82
  5. Step 5: Solve for x
    x = 2,749,269,392.82/81,615.16
  6. Step 6: Final answer
    x = 33,685.77

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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.