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Finding the Fourth Proportional to 54,465.70, 81,710.70 and 21,182.80

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Solution

The fourth proportional to 54,465.70, 81,710.70 and 21,182.80 is: 31,778.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,465.70 : 81,710.70 = 21,182.80 : x
  2. Step 2: Convert to fraction form
    54,465.70/81,710.70 = 21,182.80/x
  3. Step 3: Cross multiply
    54,465.70x = 81,710.70 × 21,182.80
  4. Step 4: Simplify right side
    54,465.70x = 1,730,861,415.96
  5. Step 5: Solve for x
    x = 1,730,861,415.96/54,465.70
  6. Step 6: Final answer
    x = 31,778.93

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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.