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Finding the Fourth Proportional to 153,768.78, 230,692.02 and 42,960.78

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Solution

The fourth proportional to 153,768.78, 230,692.02 and 42,960.78 is: 64,452.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,768.78 : 230,692.02 = 42,960.78 : x
  2. Step 2: Convert to fraction form
    153,768.78/230,692.02 = 42,960.78/x
  3. Step 3: Cross multiply
    153,768.78x = 230,692.02 × 42,960.78
  4. Step 4: Simplify right side
    153,768.78x = 9,910,709,118.98
  5. Step 5: Solve for x
    x = 9,910,709,118.98/153,768.78
  6. Step 6: Final answer
    x = 64,452.02

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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.