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Finding the Fourth Proportional to 128,920.40, 193,380.60 and 81,681.20

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Solution

The fourth proportional to 128,920.40, 193,380.60 and 81,681.20 is: 122,521.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,920.40 : 193,380.60 = 81,681.20 : x
  2. Step 2: Convert to fraction form
    128,920.40/193,380.60 = 81,681.20/x
  3. Step 3: Cross multiply
    128,920.40x = 193,380.60 × 81,681.20
  4. Step 4: Simplify right side
    128,920.40x = 15,795,559,464.72
  5. Step 5: Solve for x
    x = 15,795,559,464.72/128,920.40
  6. Step 6: Final answer
    x = 122,521.80

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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.