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Finding the Fourth Proportional to 151,654.50, 209,283.21 and 84,586.50

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Solution

The fourth proportional to 151,654.50, 209,283.21 and 84,586.50 is: 116,729.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,654.50 : 209,283.21 = 84,586.50 : x
  2. Step 2: Convert to fraction form
    151,654.50/209,283.21 = 84,586.50/x
  3. Step 3: Cross multiply
    151,654.50x = 209,283.21 × 84,586.50
  4. Step 4: Simplify right side
    151,654.50x = 17,702,534,242.67
  5. Step 5: Solve for x
    x = 17,702,534,242.67/151,654.50
  6. Step 6: Final answer
    x = 116,729.37

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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.