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Finding the Fourth Proportional to 153,622.70, 211,982.20 and 85,634.54

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Solution

The fourth proportional to 153,622.70, 211,982.20 and 85,634.54 is: 118,166.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,622.70 : 211,982.20 = 85,634.54 : x
  2. Step 2: Convert to fraction form
    153,622.70/211,982.20 = 85,634.54/x
  3. Step 3: Cross multiply
    153,622.70x = 211,982.20 × 85,634.54
  4. Step 4: Simplify right side
    153,622.70x = 18,152,998,185.19
  5. Step 5: Solve for x
    x = 18,152,998,185.19/153,622.70
  6. Step 6: Final answer
    x = 118,166.12

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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.