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Finding the Fourth Proportional to 159,786.79, 220,412.78 and 102,405.74

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Solution

The fourth proportional to 159,786.79, 220,412.78 and 102,405.74 is: 141,260.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,786.79 : 220,412.78 = 102,405.74 : x
  2. Step 2: Convert to fraction form
    159,786.79/220,412.78 = 102,405.74/x
  3. Step 3: Cross multiply
    159,786.79x = 220,412.78 × 102,405.74
  4. Step 4: Simplify right side
    159,786.79x = 22,571,532,611.29
  5. Step 5: Solve for x
    x = 22,571,532,611.29/159,786.79
  6. Step 6: Final answer
    x = 141,260.32

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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.