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Finding the Fourth Proportional to 142,495.40, 213,692.70 and 48,979.40

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Solution

The fourth proportional to 142,495.40, 213,692.70 and 48,979.40 is: 73,451.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,495.40 : 213,692.70 = 48,979.40 : x
  2. Step 2: Convert to fraction form
    142,495.40/213,692.70 = 48,979.40/x
  3. Step 3: Cross multiply
    142,495.40x = 213,692.70 × 48,979.40
  4. Step 4: Simplify right side
    142,495.40x = 10,466,540,230.38
  5. Step 5: Solve for x
    x = 10,466,540,230.38/142,495.40
  6. Step 6: Final answer
    x = 73,451.78

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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.