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Finding the Fourth Proportional to 89,323.40, 133,790.70 and 54,201.80

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Solution

The fourth proportional to 89,323.40, 133,790.70 and 54,201.80 is: 81,184.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,323.40 : 133,790.70 = 54,201.80 : x
  2. Step 2: Convert to fraction form
    89,323.40/133,790.70 = 54,201.80/x
  3. Step 3: Cross multiply
    89,323.40x = 133,790.70 × 54,201.80
  4. Step 4: Simplify right side
    89,323.40x = 7,251,696,763.26
  5. Step 5: Solve for x
    x = 7,251,696,763.26/89,323.40
  6. Step 6: Final answer
    x = 81,184.74

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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.