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Finding the Fourth Proportional to 153,121, 211,314 and 85,144.92

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Solution

The fourth proportional to 153,121, 211,314 and 85,144.92 is: 117,503.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,121 : 211,314 = 85,144.92 : x
  2. Step 2: Convert to fraction form
    153,121/211,314 = 85,144.92/x
  3. Step 3: Cross multiply
    153,121x = 211,314 × 85,144.92
  4. Step 4: Simplify right side
    153,121x = 17,992,313,624.88
  5. Step 5: Solve for x
    x = 17,992,313,624.88/153,121
  6. Step 6: Final answer
    x = 117,503.89

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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.