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Finding the Fourth Proportional to 55,356.06, 82,962.81 and 20,253.90

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Solution

The fourth proportional to 55,356.06, 82,962.81 and 20,253.90 is: 30,354.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,356.06 : 82,962.81 = 20,253.90 : x
  2. Step 2: Convert to fraction form
    55,356.06/82,962.81 = 20,253.90/x
  3. Step 3: Cross multiply
    55,356.06x = 82,962.81 × 20,253.90
  4. Step 4: Simplify right side
    55,356.06x = 1,680,320,457.46
  5. Step 5: Solve for x
    x = 1,680,320,457.46/55,356.06
  6. Step 6: Final answer
    x = 30,354.77

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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.