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Finding the Fourth Proportional to 153,766, 212,197.08 and 83,110

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Solution

The fourth proportional to 153,766, 212,197.08 and 83,110 is: 114,691.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,766 : 212,197.08 = 83,110 : x
  2. Step 2: Convert to fraction form
    153,766/212,197.08 = 83,110/x
  3. Step 3: Cross multiply
    153,766x = 212,197.08 × 83,110
  4. Step 4: Simplify right side
    153,766x = 17,635,699,318.80
  5. Step 5: Solve for x
    x = 17,635,699,318.80/153,766
  6. Step 6: Final answer
    x = 114,691.80

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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.