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Finding the Fourth Proportional to 137,446.35, 206,174.97 and 65,381.95

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Solution

The fourth proportional to 137,446.35, 206,174.97 and 65,381.95 is: 98,075.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,446.35 : 206,174.97 = 65,381.95 : x
  2. Step 2: Convert to fraction form
    137,446.35/206,174.97 = 65,381.95/x
  3. Step 3: Cross multiply
    137,446.35x = 206,174.97 × 65,381.95
  4. Step 4: Simplify right side
    137,446.35x = 13,480,121,579.79
  5. Step 5: Solve for x
    x = 13,480,121,579.79/137,446.35
  6. Step 6: Final answer
    x = 98,075.52

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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.