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Finding the Fourth Proportional to 159,409.98, 219,991.62 and 99,013.92

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Solution

The fourth proportional to 159,409.98, 219,991.62 and 99,013.92 is: 136,642.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,409.98 : 219,991.62 = 99,013.92 : x
  2. Step 2: Convert to fraction form
    159,409.98/219,991.62 = 99,013.92/x
  3. Step 3: Cross multiply
    159,409.98x = 219,991.62 × 99,013.92
  4. Step 4: Simplify right side
    159,409.98x = 21,782,232,663.35
  5. Step 5: Solve for x
    x = 21,782,232,663.35/159,409.98
  6. Step 6: Final answer
    x = 136,642.84

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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.