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Finding the Fourth Proportional to 81,656.40, 122,485.16 and 22,495.28

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Solution

The fourth proportional to 81,656.40, 122,485.16 and 22,495.28 is: 33,743.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,656.40 : 122,485.16 = 22,495.28 : x
  2. Step 2: Convert to fraction form
    81,656.40/122,485.16 = 22,495.28/x
  3. Step 3: Cross multiply
    81,656.40x = 122,485.16 × 22,495.28
  4. Step 4: Simplify right side
    81,656.40x = 2,755,337,970.04
  5. Step 5: Solve for x
    x = 2,755,337,970.04/81,656.40
  6. Step 6: Final answer
    x = 33,743.07

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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.