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Finding the Fourth Proportional to 153,361.85, 211,641.54 and 85,381.79

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Solution

The fourth proportional to 153,361.85, 211,641.54 and 85,381.79 is: 117,828.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,361.85 : 211,641.54 = 85,381.79 : x
  2. Step 2: Convert to fraction form
    153,361.85/211,641.54 = 85,381.79/x
  3. Step 3: Cross multiply
    153,361.85x = 211,641.54 × 85,381.79
  4. Step 4: Simplify right side
    153,361.85x = 18,070,333,523.56
  5. Step 5: Solve for x
    x = 18,070,333,523.56/153,361.85
  6. Step 6: Final answer
    x = 117,828.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.