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Finding the Fourth Proportional to 218,046.60, 300,724.25 and 153,730.17

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Solution

The fourth proportional to 218,046.60, 300,724.25 and 153,730.17 is: 212,020.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,046.60 : 300,724.25 = 153,730.17 : x
  2. Step 2: Convert to fraction form
    218,046.60/300,724.25 = 153,730.17/x
  3. Step 3: Cross multiply
    218,046.60x = 300,724.25 × 153,730.17
  4. Step 4: Simplify right side
    218,046.60x = 46,230,389,306.97
  5. Step 5: Solve for x
    x = 46,230,389,306.97/218,046.60
  6. Step 6: Final answer
    x = 212,020.68

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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.