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Finding the Fourth Proportional to 101,920.40, 152,880.60 and 54,681.20

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Solution

The fourth proportional to 101,920.40, 152,880.60 and 54,681.20 is: 82,021.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,920.40 : 152,880.60 = 54,681.20 : x
  2. Step 2: Convert to fraction form
    101,920.40/152,880.60 = 54,681.20/x
  3. Step 3: Cross multiply
    101,920.40x = 152,880.60 × 54,681.20
  4. Step 4: Simplify right side
    101,920.40x = 8,359,694,664.72
  5. Step 5: Solve for x
    x = 8,359,694,664.72/101,920.40
  6. Step 6: Final answer
    x = 82,021.80

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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.