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Finding the Fourth Proportional to 153,367, 211,651.13 and 83,520.89

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Solution

The fourth proportional to 153,367, 211,651.13 and 83,520.89 is: 115,261.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,367 : 211,651.13 = 83,520.89 : x
  2. Step 2: Convert to fraction form
    153,367/211,651.13 = 83,520.89/x
  3. Step 3: Cross multiply
    153,367x = 211,651.13 × 83,520.89
  4. Step 4: Simplify right side
    153,367x = 17,677,290,747.11
  5. Step 5: Solve for x
    x = 17,677,290,747.11/153,367
  6. Step 6: Final answer
    x = 115,261.37

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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.