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Finding the Fourth Proportional to 159,434.50, 220,029.59 and 87,814.50

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Solution

The fourth proportional to 159,434.50, 220,029.59 and 87,814.50 is: 121,189.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,434.50 : 220,029.59 = 87,814.50 : x
  2. Step 2: Convert to fraction form
    159,434.50/220,029.59 = 87,814.50/x
  3. Step 3: Cross multiply
    159,434.50x = 220,029.59 × 87,814.50
  4. Step 4: Simplify right side
    159,434.50x = 19,321,788,431.06
  5. Step 5: Solve for x
    x = 19,321,788,431.06/159,434.50
  6. Step 6: Final answer
    x = 121,189.51

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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.