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Finding the Fourth Proportional to 81,802.84, 122,710.12 and 21,831

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Solution

The fourth proportional to 81,802.84, 122,710.12 and 21,831 is: 32,748.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,802.84 : 122,710.12 = 21,831 : x
  2. Step 2: Convert to fraction form
    81,802.84/122,710.12 = 21,831/x
  3. Step 3: Cross multiply
    81,802.84x = 122,710.12 × 21,831
  4. Step 4: Simplify right side
    81,802.84x = 2,678,884,629.72
  5. Step 5: Solve for x
    x = 2,678,884,629.72/81,802.84
  6. Step 6: Final answer
    x = 32,748.06

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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.