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Finding the Fourth Proportional to 54,971.80, 82,457.70 and 35,288.80

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Solution

The fourth proportional to 54,971.80, 82,457.70 and 35,288.80 is: 52,933.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,971.80 : 82,457.70 = 35,288.80 : x
  2. Step 2: Convert to fraction form
    54,971.80/82,457.70 = 35,288.80/x
  3. Step 3: Cross multiply
    54,971.80x = 82,457.70 × 35,288.80
  4. Step 4: Simplify right side
    54,971.80x = 2,909,833,283.76
  5. Step 5: Solve for x
    x = 2,909,833,283.76/54,971.80
  6. Step 6: Final answer
    x = 52,933.20

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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.