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Finding the Fourth Proportional to 199,663.74, 275,534.64 and 109,019.70

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Solution

The fourth proportional to 199,663.74, 275,534.64 and 109,019.70 is: 150,446.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,663.74 : 275,534.64 = 109,019.70 : x
  2. Step 2: Convert to fraction form
    199,663.74/275,534.64 = 109,019.70/x
  3. Step 3: Cross multiply
    199,663.74x = 275,534.64 × 109,019.70
  4. Step 4: Simplify right side
    199,663.74x = 30,038,703,792.41
  5. Step 5: Solve for x
    x = 30,038,703,792.41/199,663.74
  6. Step 6: Final answer
    x = 150,446.46

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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.