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Finding the Fourth Proportional to 81,968.70, 122,953.05 and 26,564.70

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Solution

The fourth proportional to 81,968.70, 122,953.05 and 26,564.70 is: 39,847.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,968.70 : 122,953.05 = 26,564.70 : x
  2. Step 2: Convert to fraction form
    81,968.70/122,953.05 = 26,564.70/x
  3. Step 3: Cross multiply
    81,968.70x = 122,953.05 × 26,564.70
  4. Step 4: Simplify right side
    81,968.70x = 3,266,210,887.34
  5. Step 5: Solve for x
    x = 3,266,210,887.34/81,968.70
  6. Step 6: Final answer
    x = 39,847.05

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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.