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Finding the Fourth Proportional to 194,137.90, 291,206.85 and 154,480.30

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Solution

The fourth proportional to 194,137.90, 291,206.85 and 154,480.30 is: 231,720.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,137.90 : 291,206.85 = 154,480.30 : x
  2. Step 2: Convert to fraction form
    194,137.90/291,206.85 = 154,480.30/x
  3. Step 3: Cross multiply
    194,137.90x = 291,206.85 × 154,480.30
  4. Step 4: Simplify right side
    194,137.90x = 44,985,721,550.06
  5. Step 5: Solve for x
    x = 44,985,721,550.06/194,137.90
  6. Step 6: Final answer
    x = 231,720.45

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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.