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Finding the Fourth Proportional to 99,415.60, 149,123.40 and 29,294.80

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Solution

The fourth proportional to 99,415.60, 149,123.40 and 29,294.80 is: 43,942.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,415.60 : 149,123.40 = 29,294.80 : x
  2. Step 2: Convert to fraction form
    99,415.60/149,123.40 = 29,294.80/x
  3. Step 3: Cross multiply
    99,415.60x = 149,123.40 × 29,294.80
  4. Step 4: Simplify right side
    99,415.60x = 4,368,540,178.32
  5. Step 5: Solve for x
    x = 4,368,540,178.32/99,415.60
  6. Step 6: Final answer
    x = 43,942.20

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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.