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Finding the Fourth Proportional to 145,138.94, 217,722.16 and 56,399.30

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Solution

The fourth proportional to 145,138.94, 217,722.16 and 56,399.30 is: 84,604.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,138.94 : 217,722.16 = 56,399.30 : x
  2. Step 2: Convert to fraction form
    145,138.94/217,722.16 = 56,399.30/x
  3. Step 3: Cross multiply
    145,138.94x = 217,722.16 × 56,399.30
  4. Step 4: Simplify right side
    145,138.94x = 12,279,377,418.49
  5. Step 5: Solve for x
    x = 12,279,377,418.49/145,138.94
  6. Step 6: Final answer
    x = 84,604.29

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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.