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Finding the Fourth Proportional to 153,191.80, 211,401.61 and 85,207.31

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Solution

The fourth proportional to 153,191.80, 211,401.61 and 85,207.31 is: 117,584.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,191.80 : 211,401.61 = 85,207.31 : x
  2. Step 2: Convert to fraction form
    153,191.80/211,401.61 = 85,207.31/x
  3. Step 3: Cross multiply
    153,191.80x = 211,401.61 × 85,207.31
  4. Step 4: Simplify right side
    153,191.80x = 18,012,962,517.77
  5. Step 5: Solve for x
    x = 18,012,962,517.77/153,191.80
  6. Step 6: Final answer
    x = 117,584.38

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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.