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Finding the Fourth Proportional to 159,412.80, 219,994.44 and 86,820.48

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Solution

The fourth proportional to 159,412.80, 219,994.44 and 86,820.48 is: 119,814.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,412.80 : 219,994.44 = 86,820.48 : x
  2. Step 2: Convert to fraction form
    159,412.80/219,994.44 = 86,820.48/x
  3. Step 3: Cross multiply
    159,412.80x = 219,994.44 × 86,820.48
  4. Step 4: Simplify right side
    159,412.80x = 19,100,022,878.13
  5. Step 5: Solve for x
    x = 19,100,022,878.13/159,412.80
  6. Step 6: Final answer
    x = 119,814.86

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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.