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Finding the Fourth Proportional to 94,912.40, 142,390.20 and 55,449.20

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Solution

The fourth proportional to 94,912.40, 142,390.20 and 55,449.20 is: 83,186.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,912.40 : 142,390.20 = 55,449.20 : x
  2. Step 2: Convert to fraction form
    94,912.40/142,390.20 = 55,449.20/x
  3. Step 3: Cross multiply
    94,912.40x = 142,390.20 × 55,449.20
  4. Step 4: Simplify right side
    94,912.40x = 7,895,422,677.84
  5. Step 5: Solve for x
    x = 7,895,422,677.84/94,912.40
  6. Step 6: Final answer
    x = 83,186.42

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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.