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Finding the Fourth Proportional to 223,531.72, 308,419.62 and 141,830.14

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Solution

The fourth proportional to 223,531.72, 308,419.62 and 141,830.14 is: 195,691.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,531.72 : 308,419.62 = 141,830.14 : x
  2. Step 2: Convert to fraction form
    223,531.72/308,419.62 = 141,830.14/x
  3. Step 3: Cross multiply
    223,531.72x = 308,419.62 × 141,830.14
  4. Step 4: Simplify right side
    223,531.72x = 43,743,197,883.35
  5. Step 5: Solve for x
    x = 43,743,197,883.35/223,531.72
  6. Step 6: Final answer
    x = 195,691.23

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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.